Steven French and Décio Krause
- Published in print:
- 2006
- Published Online:
- September 2006
- ISBN:
- 9780199278244
- eISBN:
- 9780191603952
- Item type:
- book
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0199278245.001.0001
- Subject:
- Philosophy, Philosophy of Science
Drawing on philosophical accounts of identity and individuality, as well as the histories of both classical and quantum physics, this book explores two alternative metaphysical approaches to quantum ...
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Drawing on philosophical accounts of identity and individuality, as well as the histories of both classical and quantum physics, this book explores two alternative metaphysical approaches to quantum particles. It asks if quantum particles can be regarded as individuals, just like books, tables, and people. Taking the first approach, the book argues that if quantum particles are regarded as individuals, then Leibniz’s famous Principle of the Identity of Indiscernibles is in fact violated. Recent discussions of this conclusion are analysed in detail and the costs involved in saving the Principle are carefully considered. For the second approach, the book considers recent work in non-standard logic and set theory to indicate how we can make sense of the idea that objects can be non-individuals. The concluding chapter suggests how these results might then be extended to quantum field theory.Less
Drawing on philosophical accounts of identity and individuality, as well as the histories of both classical and quantum physics, this book explores two alternative metaphysical approaches to quantum particles. It asks if quantum particles can be regarded as individuals, just like books, tables, and people. Taking the first approach, the book argues that if quantum particles are regarded as individuals, then Leibniz’s famous Principle of the Identity of Indiscernibles is in fact violated. Recent discussions of this conclusion are analysed in detail and the costs involved in saving the Principle are carefully considered. For the second approach, the book considers recent work in non-standard logic and set theory to indicate how we can make sense of the idea that objects can be non-individuals. The concluding chapter suggests how these results might then be extended to quantum field theory.
L. Weiskrantz
- Published in print:
- 1990
- Published Online:
- January 2008
- ISBN:
- 9780198521921
- eISBN:
- 9780191706226
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198521921.003.0015
- Subject:
- Psychology, Cognitive Neuroscience
Given the good performance for cross-field matching, the question arises as to whether D. B. could perform a matching task for stimuli wholly within the blind field. The task was to respond ‘same’ or ...
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Given the good performance for cross-field matching, the question arises as to whether D. B. could perform a matching task for stimuli wholly within the blind field. The task was to respond ‘same’ or ‘different’ for Xs and Os presented simultaneously physically close to each other. It was shown that he could discriminate between the stimuli when these were presented singly. Under the conditions of the task, however, he failed the matching task within the blind field. In order to make sure the task was not inherently too difficult because of the stimulus parameters, the same task was given to the intact field, when he scored 100% accuracy. Given the undemanding character of the task for the intact field, the difference between between-field and within-field results is striking and deserves a follow-up under various stimulus conditions.Less
Given the good performance for cross-field matching, the question arises as to whether D. B. could perform a matching task for stimuli wholly within the blind field. The task was to respond ‘same’ or ‘different’ for Xs and Os presented simultaneously physically close to each other. It was shown that he could discriminate between the stimuli when these were presented singly. Under the conditions of the task, however, he failed the matching task within the blind field. In order to make sure the task was not inherently too difficult because of the stimulus parameters, the same task was given to the intact field, when he scored 100% accuracy. Given the undemanding character of the task for the intact field, the difference between between-field and within-field results is striking and deserves a follow-up under various stimulus conditions.
Haruzo Hida
- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198571025
- eISBN:
- 9780191718946
- Item type:
- book
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198571025.001.0001
- Subject:
- Mathematics, Algebra
The 1995 work by Wiles and Taylor-Wiles opened up a whole new technique in algebraic number theory and, a decade on, the waves caused by this incredibly important work are still being felt. This book ...
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The 1995 work by Wiles and Taylor-Wiles opened up a whole new technique in algebraic number theory and, a decade on, the waves caused by this incredibly important work are still being felt. This book describes a generalization of their techniques to Hilbert modular forms (towards the proof of the celebrated ‘R=T’ theorem) and applications of the theorem that have been found. Applications include a proof of the torsion of the adjoint Selmer group (over a totally real field F and over the Iwasawa tower of F) and an explicit formula of the L-invariant of the arithmetic p-adic adjoint L-functions. This implies the torsion of the classical anticyclotomic Iwasawa module of a CM field over the Iwasawa algebra. When specialized to an elliptic Tate curve over F by the L-invariant formula, the invariant of the adjoint square of the curve has exactly the same expression as the one in the conjecture of Mazur-Tate-Teitelbaum (which is for the standard L-function of the elliptic curve and is now a theorem of Greenberg-Stevens).Less
The 1995 work by Wiles and Taylor-Wiles opened up a whole new technique in algebraic number theory and, a decade on, the waves caused by this incredibly important work are still being felt. This book describes a generalization of their techniques to Hilbert modular forms (towards the proof of the celebrated ‘R=T’ theorem) and applications of the theorem that have been found. Applications include a proof of the torsion of the adjoint Selmer group (over a totally real field F and over the Iwasawa tower of F) and an explicit formula of the L-invariant of the arithmetic p-adic adjoint L-functions. This implies the torsion of the classical anticyclotomic Iwasawa module of a CM field over the Iwasawa algebra. When specialized to an elliptic Tate curve over F by the L-invariant formula, the invariant of the adjoint square of the curve has exactly the same expression as the one in the conjecture of Mazur-Tate-Teitelbaum (which is for the standard L-function of the elliptic curve and is now a theorem of Greenberg-Stevens).
L. Weiskrantz
- Published in print:
- 1990
- Published Online:
- January 2008
- ISBN:
- 9780198521921
- eISBN:
- 9780191706226
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198521921.003.0014
- Subject:
- Psychology, Cognitive Neuroscience
Given the good discrimination in the blind field, the question arises as to whether it is processed differently than discriminations in the intact field. One way of addressing the question was to ...
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Given the good discrimination in the blind field, the question arises as to whether it is processed differently than discriminations in the intact field. One way of addressing the question was to present stimuli to the two fields simultaneously and to ask D. B. to make a ‘ same-different’ judgment. Two types of stimuli were used: curved vs. straight triangles, and X vs. O. The tests with triangles were ambiguous, possibly because it was not an easy task even for the intact field. The results for X vs. O were clearer, especially when conditions were optimized by varying the size of the stimuli and their positions in the fields. But the cross-field comparison task was more tiring than a within-field task for the blind field alone. In any event, he showed unmistakable evidence of being able to do the matching task. His ability to perform discrimination within the blind field alone was better than across fields. With stimuli to the blind field alone, depending on the parameters, he might report seeing waves, but with the same parameters for the cross-field matching task, he reported seeing nothing in the blind field but something in the good field, even when he was performing at 99% accuracy. A question arises as to whether he carried out the cross-field test sequentially in each field independently, which might be pursued by the analysis of reaction times in the single vs. double field presentations.Less
Given the good discrimination in the blind field, the question arises as to whether it is processed differently than discriminations in the intact field. One way of addressing the question was to present stimuli to the two fields simultaneously and to ask D. B. to make a ‘ same-different’ judgment. Two types of stimuli were used: curved vs. straight triangles, and X vs. O. The tests with triangles were ambiguous, possibly because it was not an easy task even for the intact field. The results for X vs. O were clearer, especially when conditions were optimized by varying the size of the stimuli and their positions in the fields. But the cross-field comparison task was more tiring than a within-field task for the blind field alone. In any event, he showed unmistakable evidence of being able to do the matching task. His ability to perform discrimination within the blind field alone was better than across fields. With stimuli to the blind field alone, depending on the parameters, he might report seeing waves, but with the same parameters for the cross-field matching task, he reported seeing nothing in the blind field but something in the good field, even when he was performing at 99% accuracy. A question arises as to whether he carried out the cross-field test sequentially in each field independently, which might be pursued by the analysis of reaction times in the single vs. double field presentations.
John Levi Martin
- Published in print:
- 2011
- Published Online:
- May 2012
- ISBN:
- 9780199773312
- eISBN:
- 9780199897223
- Item type:
- book
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199773312.001.0001
- Subject:
- Sociology, Social Theory
The social sciences have increasingly placed all their bets on a notion of explanation that turns on linking abstractions through causal relations. This explanatory vocabulary is, if analysts deem it ...
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The social sciences have increasingly placed all their bets on a notion of explanation that turns on linking abstractions through causal relations. This explanatory vocabulary is, if analysts deem it necessary, set against that developed by actors, and we justify this by pointing to everyday people’s limited abilities to survive destructive interrogation of their motives. We are wronger than they; it is possible to produce a rigorous social science that systematizes and organizes actors’ experiences as opposed to negating them. Such an approach would partake of the formal characteristics of an aesthetics, and this book attempts to make a sustained plausibility argument for such a social aesthetics.Less
The social sciences have increasingly placed all their bets on a notion of explanation that turns on linking abstractions through causal relations. This explanatory vocabulary is, if analysts deem it necessary, set against that developed by actors, and we justify this by pointing to everyday people’s limited abilities to survive destructive interrogation of their motives. We are wronger than they; it is possible to produce a rigorous social science that systematizes and organizes actors’ experiences as opposed to negating them. Such an approach would partake of the formal characteristics of an aesthetics, and this book attempts to make a sustained plausibility argument for such a social aesthetics.
L. Weiskrantz
- Published in print:
- 1990
- Published Online:
- January 2008
- ISBN:
- 9780198521921
- eISBN:
- 9780191706226
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198521921.003.0013
- Subject:
- Psychology, Cognitive Neuroscience
In a number of tests, D. B. reported an impression of ‘waves’ generated by some visual stimuli, especially in a ‘lively’ part of his field defect (a region between the fovea and about 30° in the ...
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In a number of tests, D. B. reported an impression of ‘waves’ generated by some visual stimuli, especially in a ‘lively’ part of his field defect (a region between the fovea and about 30° in the lower quadrant). The waves could have some ‘sort of form’, or could be ‘quick’, ‘slow’, ‘sharp’, or ‘curved’. When the waves were experienced they were difficult for him to ignore, but they could seriously mislead him when they were used as a basis for differential discriminations. Accordingly, special pains were taken to see whether good discrimination was still possible when conditions were arranged to eliminate the waves. This was done by increasing ambient illumination with bright overhead lamps or by using low contrast stimuli. The results showed that his discrimination was still excellent in a variety of situations, even though he reported ‘nothing there’, ‘absolutely nothing’, or ‘just guessing’. D. B. often seemed to settle into a sort of experience-less ‘blindsight mode’ when he performed well but automatically and without fatigue, in contrast to his good field when long series of discrimination tests produced tiredness.Less
In a number of tests, D. B. reported an impression of ‘waves’ generated by some visual stimuli, especially in a ‘lively’ part of his field defect (a region between the fovea and about 30° in the lower quadrant). The waves could have some ‘sort of form’, or could be ‘quick’, ‘slow’, ‘sharp’, or ‘curved’. When the waves were experienced they were difficult for him to ignore, but they could seriously mislead him when they were used as a basis for differential discriminations. Accordingly, special pains were taken to see whether good discrimination was still possible when conditions were arranged to eliminate the waves. This was done by increasing ambient illumination with bright overhead lamps or by using low contrast stimuli. The results showed that his discrimination was still excellent in a variety of situations, even though he reported ‘nothing there’, ‘absolutely nothing’, or ‘just guessing’. D. B. often seemed to settle into a sort of experience-less ‘blindsight mode’ when he performed well but automatically and without fatigue, in contrast to his good field when long series of discrimination tests produced tiredness.
Yvonne Choquet-Bruhat
- Published in print:
- 2008
- Published Online:
- May 2009
- ISBN:
- 9780199230723
- eISBN:
- 9780191710872
- Item type:
- book
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199230723.001.0001
- Subject:
- Mathematics, Applied Mathematics
General Relativity has passed all experimental and observational tests to model the motion of isolated bodies with strong gravitational fields, though the mathematical and numerical study of these ...
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General Relativity has passed all experimental and observational tests to model the motion of isolated bodies with strong gravitational fields, though the mathematical and numerical study of these motions is still in its infancy. It is believed that General Relativity models our cosmos, with a manifold of dimensions possibly greater than four and debatable topology opening a vast field of investigation for mathematicians and physicists alike. Remarkable conjectures have been proposed, many results have been obtained but many fundamental questions remain open. This book overviews the basic ideas in General Relativity, introduces the necessary mathematics and discusses some of the key open questions in the field.Less
General Relativity has passed all experimental and observational tests to model the motion of isolated bodies with strong gravitational fields, though the mathematical and numerical study of these motions is still in its infancy. It is believed that General Relativity models our cosmos, with a manifold of dimensions possibly greater than four and debatable topology opening a vast field of investigation for mathematicians and physicists alike. Remarkable conjectures have been proposed, many results have been obtained but many fundamental questions remain open. This book overviews the basic ideas in General Relativity, introduces the necessary mathematics and discusses some of the key open questions in the field.
Erik N. Jensen
- Published in print:
- 2010
- Published Online:
- September 2010
- ISBN:
- 9780195395648
- eISBN:
- 9780199866564
- Item type:
- book
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195395648.001.0001
- Subject:
- History, Cultural History, European Modern History
Body by Weimar argues that male and female athletes fundamentally recast gender roles during Germany's turbulent post‐World War I years and established the basis for a modern body and ...
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Body by Weimar argues that male and female athletes fundamentally recast gender roles during Germany's turbulent post‐World War I years and established the basis for a modern body and modern sensibility that remain with us to this day. Athletes in the 1920s took the same techniques that were streamlining factories and offices and applied them to maximizing the efficiency of their own flesh and bones. Sportswomen and men embodied modernity — quite literally — in all of its competitive, time‐oriented excess and thereby helped to popularize, and even to naturalize, the sometimes threatening process of economic rationalization by linking it to their own personal success stories. Enthroned by the media as the new cultural icons, athletes radiated sexual empowerment, social mobility, and self‐determination. Champions in tennis, boxing, and track and field showed their fans how to be “modern,” and, in the process, sparked heated debates over the limits of the physical body, the obligations of citizens to the state, and the relationship between the sexes. If the images and debates in this book strike readers as familiar, it might well be because the ideal body of today — sleek, efficient, and equally available to men and women — received its first articulation in the fertile tumult of Germany's roaring twenties. After more than eighty years, we still want the Weimar body.Less
Body by Weimar argues that male and female athletes fundamentally recast gender roles during Germany's turbulent post‐World War I years and established the basis for a modern body and modern sensibility that remain with us to this day. Athletes in the 1920s took the same techniques that were streamlining factories and offices and applied them to maximizing the efficiency of their own flesh and bones. Sportswomen and men embodied modernity — quite literally — in all of its competitive, time‐oriented excess and thereby helped to popularize, and even to naturalize, the sometimes threatening process of economic rationalization by linking it to their own personal success stories. Enthroned by the media as the new cultural icons, athletes radiated sexual empowerment, social mobility, and self‐determination. Champions in tennis, boxing, and track and field showed their fans how to be “modern,” and, in the process, sparked heated debates over the limits of the physical body, the obligations of citizens to the state, and the relationship between the sexes. If the images and debates in this book strike readers as familiar, it might well be because the ideal body of today — sleek, efficient, and equally available to men and women — received its first articulation in the fertile tumult of Germany's roaring twenties. After more than eighty years, we still want the Weimar body.
Alessandra Casella
- Published in print:
- 2011
- Published Online:
- January 2012
- ISBN:
- 9780195309096
- eISBN:
- 9780199918171
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195309096.003.0013
- Subject:
- Political Science, Political Economy
Chapter 6 of Part I described a field quasi-experiment—a survey matched to actual observed behavior—run during university student elections at Columbia University. This chapter presents testing of ...
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Chapter 6 of Part I described a field quasi-experiment—a survey matched to actual observed behavior—run during university student elections at Columbia University. This chapter presents testing of the representatives of the samples and measures of inequality.Less
Chapter 6 of Part I described a field quasi-experiment—a survey matched to actual observed behavior—run during university student elections at Columbia University. This chapter presents testing of the representatives of the samples and measures of inequality.
Kazuo Fujikawa and Hiroshi Suzuki
- Published in print:
- 2004
- Published Online:
- September 2007
- ISBN:
- 9780198529132
- eISBN:
- 9780191712821
- Item type:
- book
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198529132.001.0001
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics
This book provides an introduction to the path integral formulation of quantum field theory and its applications to the analyses of symmetry breaking by the quantization procedure. This symmetry ...
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This book provides an introduction to the path integral formulation of quantum field theory and its applications to the analyses of symmetry breaking by the quantization procedure. This symmetry breaking is commonly called the ‘quantum anomaly’ or simply the ‘anomaly’, and this naming shows that the effect first appeared as an exceptional phenomenon in field theory. However, it is shown that this effect has turned out to be very fundamental in modern field theory. In the path integral formulation, it has been recognized that this effect arises from a non-trivial Jacobian in the change of path integral variables, namely, the path integral measure breaks certain symmetries. The study of the quantum anomaly attempts to bring about a better understanding of the basis of quantum theory and, consequently, it is a basic notion which could influence the entire quantum theory beyond field theory. The quantum anomaly is located at the border of divergence and convergence, though the quantum anomaly itself is perfectly finite, and thus closely related to the presence of an infinite number of degrees of freedom.Less
This book provides an introduction to the path integral formulation of quantum field theory and its applications to the analyses of symmetry breaking by the quantization procedure. This symmetry breaking is commonly called the ‘quantum anomaly’ or simply the ‘anomaly’, and this naming shows that the effect first appeared as an exceptional phenomenon in field theory. However, it is shown that this effect has turned out to be very fundamental in modern field theory. In the path integral formulation, it has been recognized that this effect arises from a non-trivial Jacobian in the change of path integral variables, namely, the path integral measure breaks certain symmetries. The study of the quantum anomaly attempts to bring about a better understanding of the basis of quantum theory and, consequently, it is a basic notion which could influence the entire quantum theory beyond field theory. The quantum anomaly is located at the border of divergence and convergence, though the quantum anomaly itself is perfectly finite, and thus closely related to the presence of an infinite number of degrees of freedom.
Gary A. Glatzmaier
- Published in print:
- 2013
- Published Online:
- October 2017
- ISBN:
- 9780691141725
- eISBN:
- 9781400848904
- Item type:
- book
- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691141725.001.0001
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology
This book provides readers with the skills they need to write computer codes that simulate convection, internal gravity waves, and magnetic field generation in the interiors and atmospheres of ...
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This book provides readers with the skills they need to write computer codes that simulate convection, internal gravity waves, and magnetic field generation in the interiors and atmospheres of rotating planets and stars. Using a teaching method perfected in the classroom, the book begins by offering a step-by-step guide on how to design codes for simulating nonlinear time-dependent thermal convection in a 2D box using Fourier expansions in the horizontal direction and finite differences in the vertical direction. It then describes how to implement more efficient a nd accurate numerical methods and more realistic geometries in two and three dimensions. The third part of the book demonstrates how to incorporate more sophisticated physics, including the effects of magnetic field, density stratification, and rotation. The book features numerous exercises throughout, and is an ideal textbook for students and an essential resource for researchers. It explains how to create codes that simulate the internal dynamics of planets and stars, and builds on basic concepts and simple methods. The book shows how to improve the efficiency and accuracy of the numerical methods. It considers more relevant geometries and boundary conditions.Less
This book provides readers with the skills they need to write computer codes that simulate convection, internal gravity waves, and magnetic field generation in the interiors and atmospheres of rotating planets and stars. Using a teaching method perfected in the classroom, the book begins by offering a step-by-step guide on how to design codes for simulating nonlinear time-dependent thermal convection in a 2D box using Fourier expansions in the horizontal direction and finite differences in the vertical direction. It then describes how to implement more efficient a nd accurate numerical methods and more realistic geometries in two and three dimensions. The third part of the book demonstrates how to incorporate more sophisticated physics, including the effects of magnetic field, density stratification, and rotation. The book features numerous exercises throughout, and is an ideal textbook for students and an essential resource for researchers. It explains how to create codes that simulate the internal dynamics of planets and stars, and builds on basic concepts and simple methods. The book shows how to improve the efficiency and accuracy of the numerical methods. It considers more relevant geometries and boundary conditions.
Michele Maggiore
- Published in print:
- 2007
- Published Online:
- January 2008
- ISBN:
- 9780198570745
- eISBN:
- 9780191717666
- Item type:
- book
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198570745.001.0001
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology
This book deals with all aspects of gravitational-wave physics, both theoretical and experimental. This first volume deals with gravitational wave (GW) theory and experiments. Part I discusses the ...
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This book deals with all aspects of gravitational-wave physics, both theoretical and experimental. This first volume deals with gravitational wave (GW) theory and experiments. Part I discusses the theory of GWs, re-deriving afresh and in a coherent way all the results presented. Both the geometrical and the field-theoretical approach to general relativity are discussed. The generation of GWs is discussed first in linearized theory (including the general multipole expansion) and then within the post-Newtonian formalism. Many important calculations (inspiral of compact binaries, GW emission by rotating or precessing bodies, infall into black holes, etc.) are presented. The observation of GWs emission from the change in the orbital period of binary pulsar, such as the Hulse-Taylor pulsar and the double pulsar, is also explained, and the pulsar timing formula is derived. Part II discusses the principles of GW experiments, going into the detail of the functioning of both interferometers and resonant-mass detectors. One chapter is devoted to the data analysis techniques relevant for GW experiments.Less
This book deals with all aspects of gravitational-wave physics, both theoretical and experimental. This first volume deals with gravitational wave (GW) theory and experiments. Part I discusses the theory of GWs, re-deriving afresh and in a coherent way all the results presented. Both the geometrical and the field-theoretical approach to general relativity are discussed. The generation of GWs is discussed first in linearized theory (including the general multipole expansion) and then within the post-Newtonian formalism. Many important calculations (inspiral of compact binaries, GW emission by rotating or precessing bodies, infall into black holes, etc.) are presented. The observation of GWs emission from the change in the orbital period of binary pulsar, such as the Hulse-Taylor pulsar and the double pulsar, is also explained, and the pulsar timing formula is derived. Part II discusses the principles of GW experiments, going into the detail of the functioning of both interferometers and resonant-mass detectors. One chapter is devoted to the data analysis techniques relevant for GW experiments.
Miguel Alcubierre
- Published in print:
- 2008
- Published Online:
- September 2008
- ISBN:
- 9780199205677
- eISBN:
- 9780191709371
- Item type:
- book
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199205677.001.0001
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics
This book introduces the modern field of 3+1 numerical relativity. It has been written in a way as to be as self-contained as possible, and assumes a basic knowledge of special relativity. Starting ...
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This book introduces the modern field of 3+1 numerical relativity. It has been written in a way as to be as self-contained as possible, and assumes a basic knowledge of special relativity. Starting from a brief introduction to general relativity, it discusses the different concepts and tools necessary for the fully consistent numerical simulation of relativistic astrophysical systems, with strong and dynamical gravitational fields. Among the topics discussed in detail are the following: the initial data problem, hyperbolic reductions of the field equations, gauge conditions, the evolution of black hole space-times, relativistic hydrodynamics, gravitational wave extraction, and numerical methods. There is also a final chapter with examples of some simple numerical space-times.Less
This book introduces the modern field of 3+1 numerical relativity. It has been written in a way as to be as self-contained as possible, and assumes a basic knowledge of special relativity. Starting from a brief introduction to general relativity, it discusses the different concepts and tools necessary for the fully consistent numerical simulation of relativistic astrophysical systems, with strong and dynamical gravitational fields. Among the topics discussed in detail are the following: the initial data problem, hyperbolic reductions of the field equations, gauge conditions, the evolution of black hole space-times, relativistic hydrodynamics, gravitational wave extraction, and numerical methods. There is also a final chapter with examples of some simple numerical space-times.
Roger E. Raab and Owen L. de Lange
- Published in print:
- 2004
- Published Online:
- September 2007
- ISBN:
- 9780198567271
- eISBN:
- 9780191717970
- Item type:
- book
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198567271.001.0001
- Subject:
- Physics, Atomic, Laser, and Optical Physics
The book opens with a chapter on the classical theory of multipoles in electromagnetism, in which static and dynamic multipole expansions of various physical quantities are derived, including of the ...
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The book opens with a chapter on the classical theory of multipoles in electromagnetism, in which static and dynamic multipole expansions of various physical quantities are derived, including of the Maxwell fields D and H. Chapter 2 presents a semi-classical account of multipole theory, in which the Barron-Gray gauge is used to derive multipole polarizabilities describing the induction of molecular moments by a harmonic plane wave. Aspects of symmetry are treated in Chapter 3 — space-time behaviour of tensors and physical properties of molecules and crystals. In Chapter 4, D(E,B) and H(E,B) are obtained for linear anisotropic media, yielding expressions for the material constants which are required to satisfy origin independence, the Post constraint, and certain symmetries but fail the first two. Despite these difficulties, the standard theory is used in Chapter 5 to derive a wave propagation equation; this is applied to explain various physical effects in transmission, two of which are also described in a scattering theory. Chapter 6 deals with the reflection of electromagnetic waves from an anisotropic medium. The reflected intensities violate origin independence, showing again the unphysical nature of existing multipole theory. In Chapter 7, the fields are transformed while leaving Maxwell's equations unchanged, from which new material constants are derived in Chapter 8 that meet the three requirements in Chapter 4. Chapter 9 applies the transformed expressions to transmission and reflection phenomena, confirming the results of Chapter 5, while yielding reflected intensities that satisfy space and time invariances.Less
The book opens with a chapter on the classical theory of multipoles in electromagnetism, in which static and dynamic multipole expansions of various physical quantities are derived, including of the Maxwell fields D and H. Chapter 2 presents a semi-classical account of multipole theory, in which the Barron-Gray gauge is used to derive multipole polarizabilities describing the induction of molecular moments by a harmonic plane wave. Aspects of symmetry are treated in Chapter 3 — space-time behaviour of tensors and physical properties of molecules and crystals. In Chapter 4, D(E,B) and H(E,B) are obtained for linear anisotropic media, yielding expressions for the material constants which are required to satisfy origin independence, the Post constraint, and certain symmetries but fail the first two. Despite these difficulties, the standard theory is used in Chapter 5 to derive a wave propagation equation; this is applied to explain various physical effects in transmission, two of which are also described in a scattering theory. Chapter 6 deals with the reflection of electromagnetic waves from an anisotropic medium. The reflected intensities violate origin independence, showing again the unphysical nature of existing multipole theory. In Chapter 7, the fields are transformed while leaving Maxwell's equations unchanged, from which new material constants are derived in Chapter 8 that meet the three requirements in Chapter 4. Chapter 9 applies the transformed expressions to transmission and reflection phenomena, confirming the results of Chapter 5, while yielding reflected intensities that satisfy space and time invariances.
W. M. Gorman
C. Blackorby and A. F. Shorrocks (eds)
- Published in print:
- 1996
- Published Online:
- November 2003
- ISBN:
- 9780198285212
- eISBN:
- 9780191596322
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0198285213.003.0017
- Subject:
- Economics and Finance, Microeconomics
This short note, published in Metroeconomica 13 (1961), begins with the assumption that the preferences of the consumer exhibit linear Engel curves, which were shown in ’Community preference fields’ ...
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This short note, published in Metroeconomica 13 (1961), begins with the assumption that the preferences of the consumer exhibit linear Engel curves, which were shown in ’Community preference fields’ (Ch. 15) to be necessary for the existence of a community indifference map. Engel curves are curves showing the relationship between income level and spending on the consumption of some good, at a given price, and linear Engel curves crop up in several branches of economics. The note explores some of the properties of the preference fields in which linear Engel curves arise, and, in particular, of those in which the marginal propensity to consume each good is an absolute constant. The preference fields are characterized by closed‐form representations in terms of both the indirect utility function and the cost function. An application to international trade theory is discussed.Less
This short note, published in Metroeconomica 13 (1961), begins with the assumption that the preferences of the consumer exhibit linear Engel curves, which were shown in ’Community preference fields’ (Ch. 15) to be necessary for the existence of a community indifference map. Engel curves are curves showing the relationship between income level and spending on the consumption of some good, at a given price, and linear Engel curves crop up in several branches of economics. The note explores some of the properties of the preference fields in which linear Engel curves arise, and, in particular, of those in which the marginal propensity to consume each good is an absolute constant. The preference fields are characterized by closed‐form representations in terms of both the indirect utility function and the cost function. An application to international trade theory is discussed.
L. P. Pitaevskii
- Published in print:
- 2007
- Published Online:
- May 2008
- ISBN:
- 9780199238873
- eISBN:
- 9780191716652
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199238873.003.0013
- Subject:
- Physics, Condensed Matter Physics / Materials
This chapter reviews the Lifshitz equation, which describes the interaction potential of an atom with the surface of a bulk dielectric medium. It shows how to obtain this equation in a more simple ...
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This chapter reviews the Lifshitz equation, which describes the interaction potential of an atom with the surface of a bulk dielectric medium. It shows how to obtain this equation in a more simple and straightforward way compared to the original derivation by E. M. Lifshitz. The key methodological point of the proposed approach is to neglect the retardation effects and evaluate the Green function of the longitudinal light field.Less
This chapter reviews the Lifshitz equation, which describes the interaction potential of an atom with the surface of a bulk dielectric medium. It shows how to obtain this equation in a more simple and straightforward way compared to the original derivation by E. M. Lifshitz. The key methodological point of the proposed approach is to neglect the retardation effects and evaluate the Green function of the longitudinal light field.
Ute Husken and Frank Neubert
- Published in print:
- 2011
- Published Online:
- January 2012
- ISBN:
- 9780199812295
- eISBN:
- 9780199919390
- Item type:
- book
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199812295.001.0001
- Subject:
- Religion, Religion and Society
Ritual is often seen as an undisputed and indisputable part of all sorts of traditions, religious and secular. However, a close look at ritual actions and texts points toward the fact that rituals ...
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Ritual is often seen as an undisputed and indisputable part of all sorts of traditions, religious and secular. However, a close look at ritual actions and texts points toward the fact that rituals not only are frequently disputed, but that they also constitute a field in which vital and sometimes even violent negotiations take place. This insight opens up fruitful new perspectives on ritual procedures, on the interactions that constitute these procedures, and on their contexts. The rituals or ritualized behavior investigated in this volume represent a broad spectrum, such as worship in a Tibetan Buddhist tradition practiced in Canada, animist mortuary rituals in northern India, a New Year’s festival in Swahili society, atonement rituals in ancient Indian texts, rituals of Tibetan “Treasure Revealers”, initiation rituals in Tibetan Buddhism and in Wiccan religion in the U.S.A., Jewish same-sex wedding rituals in the U.S.A. and Canada, rites connected to imperial power in eleventh-century China, festivities commemorating Martin Luther in the former East Germany, “hook-swinging” ritual as viewed by colonial, Brahmanic and subaltern actors in South India, the historical development of the interpretation of Indian Tantric rites, and scholarly discourse on ritual. Not only are the actions and corresponding discourses diverse, but also the materials that form the basis of the individual case studies: some contributors use texts, some analyze ritual performance; others use both, textual analysis and qualitative field study. This book shows that negotiations are ubiquitous in ritual contexts, either in relation to the ritual itself, or in relation to the realm beyond any given ritual performance. In fact, ritual’s embeddedness in negotiation processes is one of its central features.Less
Ritual is often seen as an undisputed and indisputable part of all sorts of traditions, religious and secular. However, a close look at ritual actions and texts points toward the fact that rituals not only are frequently disputed, but that they also constitute a field in which vital and sometimes even violent negotiations take place. This insight opens up fruitful new perspectives on ritual procedures, on the interactions that constitute these procedures, and on their contexts. The rituals or ritualized behavior investigated in this volume represent a broad spectrum, such as worship in a Tibetan Buddhist tradition practiced in Canada, animist mortuary rituals in northern India, a New Year’s festival in Swahili society, atonement rituals in ancient Indian texts, rituals of Tibetan “Treasure Revealers”, initiation rituals in Tibetan Buddhism and in Wiccan religion in the U.S.A., Jewish same-sex wedding rituals in the U.S.A. and Canada, rites connected to imperial power in eleventh-century China, festivities commemorating Martin Luther in the former East Germany, “hook-swinging” ritual as viewed by colonial, Brahmanic and subaltern actors in South India, the historical development of the interpretation of Indian Tantric rites, and scholarly discourse on ritual. Not only are the actions and corresponding discourses diverse, but also the materials that form the basis of the individual case studies: some contributors use texts, some analyze ritual performance; others use both, textual analysis and qualitative field study. This book shows that negotiations are ubiquitous in ritual contexts, either in relation to the ritual itself, or in relation to the realm beyond any given ritual performance. In fact, ritual’s embeddedness in negotiation processes is one of its central features.
Mathias Frisch
- Published in print:
- 2005
- Published Online:
- April 2005
- ISBN:
- 9780195172157
- eISBN:
- 9780199835294
- Item type:
- book
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0195172159.001.0001
- Subject:
- Philosophy, Philosophy of Science
This book has two principal aims: to investigate the conceptual structure of classical electrodynamics, and show that investigating a particular scientific theory can shed light on concerns in the ...
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This book has two principal aims: to investigate the conceptual structure of classical electrodynamics, and show that investigating a particular scientific theory can shed light on concerns in the general philosophy of science. It focuses on two basic issues on the interaction between charged particles and classical fields. First, what is the equation of motion of a charged particle interacting with an electromagnetic field? Second, how does the presence of charged particles or sources affect the total field? The book is divided into two parts. Part I focuses on particles — different particle equations of motion and their properties. Part II focuses on fields and their symmetry properties in the presence of particles.Less
This book has two principal aims: to investigate the conceptual structure of classical electrodynamics, and show that investigating a particular scientific theory can shed light on concerns in the general philosophy of science. It focuses on two basic issues on the interaction between charged particles and classical fields. First, what is the equation of motion of a charged particle interacting with an electromagnetic field? Second, how does the presence of charged particles or sources affect the total field? The book is divided into two parts. Part I focuses on particles — different particle equations of motion and their properties. Part II focuses on fields and their symmetry properties in the presence of particles.
Gary A. Glatzmaier
- Published in print:
- 2013
- Published Online:
- October 2017
- ISBN:
- 9780691141725
- eISBN:
- 9781400848904
- Item type:
- chapter
- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691141725.003.0011
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology
This chapter focuses on magnetoconvection, which refers to thermal convection of an electrically conducting fluid within a background magnetic field maintained by some external mechanism. It first ...
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This chapter focuses on magnetoconvection, which refers to thermal convection of an electrically conducting fluid within a background magnetic field maintained by some external mechanism. It first provides a brief overview of magnetohydrodynamics and the magnetohydrodynamic equations before explaining how to make a 2D model of magnetic field. In this approach, the case of a uniform vertical background field and the case of a uniform horizontal background field are both considered. The chapter then describes how one could simulate a case of a uniform background field that is tilted relative to both the vertical and horizontal axes. It also considers what can be learned about the stability and structure of magnetoconvection and the dispersion relation for magneto-gravity waves from analytical analyses without the nonlinear terms. Finally, it discusses nonlinear simulations of magnetoconvection in a box with impermeable side boundaries, along with magnetoconvection with a horizontal background field and an arbitrary background field.Less
This chapter focuses on magnetoconvection, which refers to thermal convection of an electrically conducting fluid within a background magnetic field maintained by some external mechanism. It first provides a brief overview of magnetohydrodynamics and the magnetohydrodynamic equations before explaining how to make a 2D model of magnetic field. In this approach, the case of a uniform vertical background field and the case of a uniform horizontal background field are both considered. The chapter then describes how one could simulate a case of a uniform background field that is tilted relative to both the vertical and horizontal axes. It also considers what can be learned about the stability and structure of magnetoconvection and the dispersion relation for magneto-gravity waves from analytical analyses without the nonlinear terms. Finally, it discusses nonlinear simulations of magnetoconvection in a box with impermeable side boundaries, along with magnetoconvection with a horizontal background field and an arbitrary background field.
Mark J. Joe
- Published in print:
- 2006
- Published Online:
- October 2011
- ISBN:
- 9780199205301
- eISBN:
- 9780191695612
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199205301.003.0018
- Subject:
- Business and Management, Corporate Governance and Accountability, Business History
The political problem of backlash is analogous to the economic problem of producing from a common pool. When a society has an asset that it uses in common, overusing it can destroy its value, and ...
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The political problem of backlash is analogous to the economic problem of producing from a common pool. When a society has an asset that it uses in common, overusing it can destroy its value, and private economic incentives militate toward overusing a commonly-owned asset. To keep claims on the polity from overly destabilizing production, political deals that work, like economic common pool deals that work, may not be pretty and may not be efficient when compared to the ideal. These problems are best illustrates by the destructive drilling in the East Texas oil fields in the 1930s.Less
The political problem of backlash is analogous to the economic problem of producing from a common pool. When a society has an asset that it uses in common, overusing it can destroy its value, and private economic incentives militate toward overusing a commonly-owned asset. To keep claims on the polity from overly destabilizing production, political deals that work, like economic common pool deals that work, may not be pretty and may not be efficient when compared to the ideal. These problems are best illustrates by the destructive drilling in the East Texas oil fields in the 1930s.
