Saul M. Olyan
- Published in print:
- 2004
- Published Online:
- September 2011
- ISBN:
- 9780199264865
- eISBN:
- 9780191698996
- Item type:
- book
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199264865.001.0001
- Subject:
- Religion, Biblical Studies
This book offers an analysis of the ritual dimensions of biblical mourning rites. It also seeks to illuminate mourning's social dimensions through engagement with anthropological discussion of ...
More
This book offers an analysis of the ritual dimensions of biblical mourning rites. It also seeks to illuminate mourning's social dimensions through engagement with anthropological discussion of mourning, from Hertz and van Gennep to contemporaries such as Metcalf and Huntington and Bloch and Parry. The book identifies four types of biblical mourning, and argues that mourning the dead is paradigmatic. It investigates why mourning can occur among petitioners in a sanctuary setting even given mourning's death associations; why certain texts proscribe some mourning rites (laceration and shaving) but not others; and why the mixing of the rites of mourning and rejoicing, normally incompatible, occurs in the same ritual in several biblical texts.Less
This book offers an analysis of the ritual dimensions of biblical mourning rites. It also seeks to illuminate mourning's social dimensions through engagement with anthropological discussion of mourning, from Hertz and van Gennep to contemporaries such as Metcalf and Huntington and Bloch and Parry. The book identifies four types of biblical mourning, and argues that mourning the dead is paradigmatic. It investigates why mourning can occur among petitioners in a sanctuary setting even given mourning's death associations; why certain texts proscribe some mourning rites (laceration and shaving) but not others; and why the mixing of the rites of mourning and rejoicing, normally incompatible, occurs in the same ritual in several biblical texts.
Alan Cameron
- Published in print:
- 2010
- Published Online:
- January 2011
- ISBN:
- 9780199747276
- eISBN:
- 9780199866212
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199747276.003.0005
- Subject:
- Classical Studies, Ancient Religions
Much of the evidence for the religious affiliations of pagan aristocrats comes from inscribed dedications—more indeed than most people probably realize. In simpler times it was taken for granted that ...
More
Much of the evidence for the religious affiliations of pagan aristocrats comes from inscribed dedications—more indeed than most people probably realize. In simpler times it was taken for granted that inscriptions provided a peculiarly uncomplicated sort of evidence, bare facts not mediated by human art or bias. However, few facts are bare. This chapter examines what sort of monuments these dedications were inscribed on, where they were erected, by whom, and with what purpose. Topics discussed include Roman priesthoods, “oriental” cults, Bloch's thesis that it was oriental rather than state cults that inspired political resistance to Christianity, the taurobolium, and the decline of the priestly colleges.Less
Much of the evidence for the religious affiliations of pagan aristocrats comes from inscribed dedications—more indeed than most people probably realize. In simpler times it was taken for granted that inscriptions provided a peculiarly uncomplicated sort of evidence, bare facts not mediated by human art or bias. However, few facts are bare. This chapter examines what sort of monuments these dedications were inscribed on, where they were erected, by whom, and with what purpose. Topics discussed include Roman priesthoods, “oriental” cults, Bloch's thesis that it was oriental rather than state cults that inspired political resistance to Christianity, the taurobolium, and the decline of the priestly colleges.
Jack Zipes
- Published in print:
- 2014
- Published Online:
- October 2017
- ISBN:
- 9780691160580
- eISBN:
- 9781400852581
- Item type:
- chapter
- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691160580.003.0008
- Subject:
- Literature, Folk Literature
This concluding chapter examines the explorations of Ernst Bloch (1885–1977), the great philosopher of hope, and Theodor Adorno (1903–69), the foremost critical thinker of the Frankfurt School, ...
More
This concluding chapter examines the explorations of Ernst Bloch (1885–1977), the great philosopher of hope, and Theodor Adorno (1903–69), the foremost critical thinker of the Frankfurt School, concerning the profound ramifications of the fairy tale. In doing so they made a significant contribution to the Grimms' cultural legacy. The chapter reveals that, not long after Bloch escaped the dystopian realm of East Germany in 1961, he held a radio discussion with Adorno about the contradictions of utopian longing. Both displayed an unusual interest in fairy tales and were very familiar with the Grimms' tales, which they considered to be utopian.Less
This concluding chapter examines the explorations of Ernst Bloch (1885–1977), the great philosopher of hope, and Theodor Adorno (1903–69), the foremost critical thinker of the Frankfurt School, concerning the profound ramifications of the fairy tale. In doing so they made a significant contribution to the Grimms' cultural legacy. The chapter reveals that, not long after Bloch escaped the dystopian realm of East Germany in 1961, he held a radio discussion with Adorno about the contradictions of utopian longing. Both displayed an unusual interest in fairy tales and were very familiar with the Grimms' tales, which they considered to be utopian.
Huw Pryce
- Published in print:
- 2009
- Published Online:
- January 2012
- ISBN:
- 9780197264577
- eISBN:
- 9780191734267
- Item type:
- chapter
- Publisher:
- British Academy
- DOI:
- 10.5871/bacad/9780197264577.003.0007
- Subject:
- History, Historiography
Robert Rees Davies (1938–2005), a Fellow of the British Academy, was a highly original historian who offered compelling new insights into medieval society through a body of work focused on Britain ...
More
Robert Rees Davies (1938–2005), a Fellow of the British Academy, was a highly original historian who offered compelling new insights into medieval society through a body of work focused on Britain and Ireland and, above all, Wales. He deployed his formidable public skills as a chair of committees and eloquent promoter and advocate of the cause of history. To a considerable extent, Rees Davies' work as a historian was influenced by his higher education at University College London and the University of Oxford, as well as by the example of Marc Bloch and of other French historians. He was born at Glanddwynant, Caletwr, near Llandderfel in Merioneth, the fourth and youngest son of William Edward and Sarah Margaret Davies. The publication in 1987 of Conquest, Coexistence, and Change: Wales 1063–1415, which won the Wolfson Literary Award for History, further enhanced Rees Davies' reputation as a scholar. He was elected a Fellow of the British Academy in the same year.Less
Robert Rees Davies (1938–2005), a Fellow of the British Academy, was a highly original historian who offered compelling new insights into medieval society through a body of work focused on Britain and Ireland and, above all, Wales. He deployed his formidable public skills as a chair of committees and eloquent promoter and advocate of the cause of history. To a considerable extent, Rees Davies' work as a historian was influenced by his higher education at University College London and the University of Oxford, as well as by the example of Marc Bloch and of other French historians. He was born at Glanddwynant, Caletwr, near Llandderfel in Merioneth, the fourth and youngest son of William Edward and Sarah Margaret Davies. The publication in 1987 of Conquest, Coexistence, and Change: Wales 1063–1415, which won the Wolfson Literary Award for History, further enhanced Rees Davies' reputation as a scholar. He was elected a Fellow of the British Academy in the same year.
Alexey V. Kavokin and Jeremy J. Baumberg
- Published in print:
- 2007
- Published Online:
- May 2008
- ISBN:
- 9780199228942
- eISBN:
- 9780191711190
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199228942.003.0005
- Subject:
- Physics, Atomic, Laser, and Optical Physics
This chapter starts from description of Rabi and Bloch-oscillations in semiconductors. It introduces the exciton-light coupling Hamiltonian in terms of the secondary quantization theory, and ...
More
This chapter starts from description of Rabi and Bloch-oscillations in semiconductors. It introduces the exciton-light coupling Hamiltonian in terms of the secondary quantization theory, and considers different approaches to quantum description of light-matter coupling, including the Jaynes-Cummings model and the Dicke model. The crossover from bosonic to fermionic statistics for excitons is then discussed. Finally, the dispersion of exciton-polaritons in microcavities is obtained and the polariton Hamiltonian is constructed.Less
This chapter starts from description of Rabi and Bloch-oscillations in semiconductors. It introduces the exciton-light coupling Hamiltonian in terms of the secondary quantization theory, and considers different approaches to quantum description of light-matter coupling, including the Jaynes-Cummings model and the Dicke model. The crossover from bosonic to fermionic statistics for excitons is then discussed. Finally, the dispersion of exciton-polaritons in microcavities is obtained and the polariton Hamiltonian is constructed.
J. C. Garrison and R. Y. Chiao
- Published in print:
- 2008
- Published Online:
- September 2008
- ISBN:
- 9780198508861
- eISBN:
- 9780191708640
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198508861.003.0012
- Subject:
- Physics, Atomic, Laser, and Optical Physics
The perturbation expansion (Chapter 4) fails if the incident field — assumed to be resonant with an atomic transition — has a coherence time that is long compared to the spontaneous emission time. ...
More
The perturbation expansion (Chapter 4) fails if the incident field — assumed to be resonant with an atomic transition — has a coherence time that is long compared to the spontaneous emission time. The dominance of resonance effects is used to replace the perturbation expansion by the resonant-wave approximation, which approximately describes the joint evolution of the field-atom system for long times. This approach is employed to describe quantum propagation of spontaneously emitted photons. When combined with the Markov approximation, it yields the Weisskopf-Wigner model for single-photon emission and two-photon cascade emission. The chapter ends with a discussion of the semi-classical limit, Rabi oscillations, the Bloch equation, and adiabatic elimination.Less
The perturbation expansion (Chapter 4) fails if the incident field — assumed to be resonant with an atomic transition — has a coherence time that is long compared to the spontaneous emission time. The dominance of resonance effects is used to replace the perturbation expansion by the resonant-wave approximation, which approximately describes the joint evolution of the field-atom system for long times. This approach is employed to describe quantum propagation of spontaneously emitted photons. When combined with the Markov approximation, it yields the Weisskopf-Wigner model for single-photon emission and two-photon cascade emission. The chapter ends with a discussion of the semi-classical limit, Rabi oscillations, the Bloch equation, and adiabatic elimination.
J. M. Ziman
- Published in print:
- 2001
- Published Online:
- September 2007
- ISBN:
- 9780198507796
- eISBN:
- 9780191709937
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198507796.003.0009
- Subject:
- Physics, Condensed Matter Physics / Materials
This chapter discusses the electrical conductivity of metals. Topics covered include the transport properties of metals, residual resistance in alloys, the resistance-minimum phenomenon, residual ...
More
This chapter discusses the electrical conductivity of metals. Topics covered include the transport properties of metals, residual resistance in alloys, the resistance-minimum phenomenon, residual resistance from crystal imperfections, the Bloch theory, lattice resistivity, electrical resistivity of transition metals, thermal conductivity, thermopower, phonon drag, and electron-electron scattering.Less
This chapter discusses the electrical conductivity of metals. Topics covered include the transport properties of metals, residual resistance in alloys, the resistance-minimum phenomenon, residual resistance from crystal imperfections, the Bloch theory, lattice resistivity, electrical resistivity of transition metals, thermal conductivity, thermopower, phonon drag, and electron-electron scattering.
Michael Gallope
- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780226483559
- eISBN:
- 9780226483726
- Item type:
- book
- Publisher:
- University of Chicago Press
- DOI:
- 10.7208/chicago/9780226483726.001.0001
- Subject:
- Music, Philosophy of Music
Deep Refrains: Music, Philosophy, and the Ineffable draws together the writings of Arthur Schopenhauer, Friedrich Nietzsche, Ernst Bloch, Theodor Adorno, Vladimir Jankélévitch, Gilles Deleuze, and ...
More
Deep Refrains: Music, Philosophy, and the Ineffable draws together the writings of Arthur Schopenhauer, Friedrich Nietzsche, Ernst Bloch, Theodor Adorno, Vladimir Jankélévitch, Gilles Deleuze, and Félix Guattari in order to revisit the age-old question of music’s ineffability from a modern perspective. For these nineteenth- and twentieth-century European philosophers, music’s ineffability is a complex phenomenon that engenders an intellectually productive sense of perplexity. Through careful examination of their historical contexts and philosophical orientations, close attention to their use of language, and new interpretations of musical compositions that proved influential for their work, Deep Refrains forges the first panoptic view of their writings on music. Gallope concludes that music’s ineffability is neither a conservative phenomenon nor a pious call to silence. Instead, these philosophers ask us to think through the ways in which music’s stunning force might address, in an ethical fashion, intricate philosophical questions specific to the modern world.Less
Deep Refrains: Music, Philosophy, and the Ineffable draws together the writings of Arthur Schopenhauer, Friedrich Nietzsche, Ernst Bloch, Theodor Adorno, Vladimir Jankélévitch, Gilles Deleuze, and Félix Guattari in order to revisit the age-old question of music’s ineffability from a modern perspective. For these nineteenth- and twentieth-century European philosophers, music’s ineffability is a complex phenomenon that engenders an intellectually productive sense of perplexity. Through careful examination of their historical contexts and philosophical orientations, close attention to their use of language, and new interpretations of musical compositions that proved influential for their work, Deep Refrains forges the first panoptic view of their writings on music. Gallope concludes that music’s ineffability is neither a conservative phenomenon nor a pious call to silence. Instead, these philosophers ask us to think through the ways in which music’s stunning force might address, in an ethical fashion, intricate philosophical questions specific to the modern world.
Ingrid Wassenaar
- Published in print:
- 2000
- Published Online:
- October 2011
- ISBN:
- 9780198160045
- eISBN:
- 9780191673757
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198160045.003.0004
- Subject:
- Literature, European Literature, 20th-century Literature and Modernism
This chapter considers the narrator’s negotiation of the dangers of being too close for comfort to the representation of personal beliefs, needs, or desires in others, from whom a distinguishing ...
More
This chapter considers the narrator’s negotiation of the dangers of being too close for comfort to the representation of personal beliefs, needs, or desires in others, from whom a distinguishing mechanism is demanded if self is to be constituted and preserved. It shows self-justification when it is working as the imposition of a necessary separation from likeminded others; a wilful, or deliberate outsidedness to the act of observing them; and a viscous, sado-masochistic contagion of characteristics that, while they pass between the series of men, are never fully reversible, or fully detachable from the narrator. The chapter culminates with a study of how Marcel encounters Saint–Loup and Bloch: it looks closely at the work of differentiation from them undertaken by the narrator in his own justification.Less
This chapter considers the narrator’s negotiation of the dangers of being too close for comfort to the representation of personal beliefs, needs, or desires in others, from whom a distinguishing mechanism is demanded if self is to be constituted and preserved. It shows self-justification when it is working as the imposition of a necessary separation from likeminded others; a wilful, or deliberate outsidedness to the act of observing them; and a viscous, sado-masochistic contagion of characteristics that, while they pass between the series of men, are never fully reversible, or fully detachable from the narrator. The chapter culminates with a study of how Marcel encounters Saint–Loup and Bloch: it looks closely at the work of differentiation from them undertaken by the narrator in his own justification.
Efstratios Manousakis
- Published in print:
- 2015
- Published Online:
- December 2015
- ISBN:
- 9780198749349
- eISBN:
- 9780191813474
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198749349.003.0010
- Subject:
- Physics, Atomic, Laser, and Optical Physics
This chapter explores the consequences of the translational symmetry of a periodic Potential. It discusses Bloch’s theorem and its consequencies. It also analyzes the so-called Kronig–Penney model.
This chapter explores the consequences of the translational symmetry of a periodic Potential. It discusses Bloch’s theorem and its consequencies. It also analyzes the so-called Kronig–Penney model.
Christian Haesemeyer and Charles A. Weibel
- Published in print:
- 2019
- Published Online:
- January 2020
- ISBN:
- 9780691191041
- eISBN:
- 9780691189635
- Item type:
- book
- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691191041.001.0001
- Subject:
- Mathematics, Geometry / Topology
This book presents the complete proof of the Bloch–Kato conjecture and several related conjectures of Beilinson and Lichtenbaum in algebraic geometry. Brought together here for the first time, these ...
More
This book presents the complete proof of the Bloch–Kato conjecture and several related conjectures of Beilinson and Lichtenbaum in algebraic geometry. Brought together here for the first time, these conjectures describe the structure of étale cohomology and its relation to motivic cohomology and Chow groups. Although the proof relies on the work of several people, it is credited primarily to Vladimir Voevodsky. The book draws on a multitude of published and unpublished sources to explain the large-scale structure of Voevodsky's proof and introduces the key figures behind its development. It proceeds to describe the highly innovative geometric constructions of Markus Rost, including the construction of norm varieties, which play a crucial role in the proof. It then addresses symmetric powers of motives and motivic cohomology operations. The book unites various components of the proof that until now were scattered across many sources of varying accessibility, often with differing hypotheses, definitions, and language.Less
This book presents the complete proof of the Bloch–Kato conjecture and several related conjectures of Beilinson and Lichtenbaum in algebraic geometry. Brought together here for the first time, these conjectures describe the structure of étale cohomology and its relation to motivic cohomology and Chow groups. Although the proof relies on the work of several people, it is credited primarily to Vladimir Voevodsky. The book draws on a multitude of published and unpublished sources to explain the large-scale structure of Voevodsky's proof and introduces the key figures behind its development. It proceeds to describe the highly innovative geometric constructions of Markus Rost, including the construction of norm varieties, which play a crucial role in the proof. It then addresses symmetric powers of motives and motivic cohomology operations. The book unites various components of the proof that until now were scattered across many sources of varying accessibility, often with differing hypotheses, definitions, and language.
Alan Mittleman
- Published in print:
- 2009
- Published Online:
- September 2011
- ISBN:
- 9780199297153
- eISBN:
- 9780191700835
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199297153.003.0006
- Subject:
- Religion, Philosophy of Religion, Religion and Society
This chapter examines the modern displacement and transformation of religious hope and the emergence of secular hope. It looks at two representative figures from the 18th-century French and German ...
More
This chapter examines the modern displacement and transformation of religious hope and the emergence of secular hope. It looks at two representative figures from the 18th-century French and German Enlightenments: Nicolas de Condorcet and Immanuel Kant. Condorcet and Kant are advocates rather than critics of hope. They continue the positive value-laden emphases of the biblical literatures and of the medievals. Unlike the earlier modern thinkers, Kant does not divorce hope qua emotion from reason. Through a critical study of Ernst Bloch, we discern the deep conjunction of modern hope and modern politics. As a modern politics, the liberal order is no stranger to Blochian, purely emancipatory hope. As a rejoinder to Bloch, this chapter considers Hannah Arendt's concept of natality, of the role of the new as a harbinger of hope in politics.Less
This chapter examines the modern displacement and transformation of religious hope and the emergence of secular hope. It looks at two representative figures from the 18th-century French and German Enlightenments: Nicolas de Condorcet and Immanuel Kant. Condorcet and Kant are advocates rather than critics of hope. They continue the positive value-laden emphases of the biblical literatures and of the medievals. Unlike the earlier modern thinkers, Kant does not divorce hope qua emotion from reason. Through a critical study of Ernst Bloch, we discern the deep conjunction of modern hope and modern politics. As a modern politics, the liberal order is no stranger to Blochian, purely emancipatory hope. As a rejoinder to Bloch, this chapter considers Hannah Arendt's concept of natality, of the role of the new as a harbinger of hope in politics.
Claire Voisin
- Published in print:
- 2014
- Published Online:
- October 2017
- ISBN:
- 9780691160504
- eISBN:
- 9781400850532
- Item type:
- book
- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691160504.001.0001
- Subject:
- Mathematics, Geometry / Topology
This book provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology. ...
More
This book provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology. The book is intended for both students and researchers, and not only presents a survey of the geometric methods developed in the last thirty years to understand the famous Bloch-Beilinson conjectures, but also examines recent work by the author. It focuses on two central objects: the diagonal of a variety—and the partial Bloch-Srinivas type decompositions it may have depending on the size of Chow groups—as well as its small diagonal, which is the right object to consider in order to understand the ring structure on Chow groups and cohomology. An exploration of a sampling of recent works by the author looks at the relation, conjectured in general by Bloch and Beilinson, between the coniveau of general complete intersections and their Chow groups and a very particular property satisfied by the Chow ring of K3 surfaces and conjecturally by hyper-Kähler manifolds. In particular, the book delves into arguments originating in Nori's work that have been further developed by others.Less
This book provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology. The book is intended for both students and researchers, and not only presents a survey of the geometric methods developed in the last thirty years to understand the famous Bloch-Beilinson conjectures, but also examines recent work by the author. It focuses on two central objects: the diagonal of a variety—and the partial Bloch-Srinivas type decompositions it may have depending on the size of Chow groups—as well as its small diagonal, which is the right object to consider in order to understand the ring structure on Chow groups and cohomology. An exploration of a sampling of recent works by the author looks at the relation, conjectured in general by Bloch and Beilinson, between the coniveau of general complete intersections and their Chow groups and a very particular property satisfied by the Chow ring of K3 surfaces and conjecturally by hyper-Kähler manifolds. In particular, the book delves into arguments originating in Nori's work that have been further developed by others.
Barry Forshaw
- Published in print:
- 2013
- Published Online:
- February 2021
- ISBN:
- 9781906733650
- eISBN:
- 9781800342071
- Item type:
- chapter
- Publisher:
- Liverpool University Press
- DOI:
- 10.3828/liverpool/9781906733650.003.0002
- Subject:
- Film, Television and Radio, Film
This chapter discusses the other serial killers in the cinema before Hannibal Lecter. In 1959, the writer Robert Bloch was inspired by the gruesome case of the Wisconsin mass murderer Ed Gein, with ...
More
This chapter discusses the other serial killers in the cinema before Hannibal Lecter. In 1959, the writer Robert Bloch was inspired by the gruesome case of the Wisconsin mass murderer Ed Gein, with his keepsakes of bones and human skin. He transmuted elements of the Gein case into the phenomenally successful Psycho (published 1959), reconfiguring the real-life Gein as the chubby, unprepossessing mother's boy Norman Bates, who dispatches a variety of victims in gruesome fashion. Subsequently, Alfred Hitchcock's adaptation of the novel (1960) laid down the parameters for a variety of genres: the serial killer movie, the slasher film, and the modern big-budget horror film which utilises above-the-title stars rather than the journeyman actors who had populated such fare previously. But above all else, Hitchcock and his talented screenwriter Joseph Stefano created a template for the intelligent, richly developed, and charismatic fictional serial killer in their version of Norman Bates. Hitchcock's film was to influence a generation of film-makers and writers; among them Thomas Harris.Less
This chapter discusses the other serial killers in the cinema before Hannibal Lecter. In 1959, the writer Robert Bloch was inspired by the gruesome case of the Wisconsin mass murderer Ed Gein, with his keepsakes of bones and human skin. He transmuted elements of the Gein case into the phenomenally successful Psycho (published 1959), reconfiguring the real-life Gein as the chubby, unprepossessing mother's boy Norman Bates, who dispatches a variety of victims in gruesome fashion. Subsequently, Alfred Hitchcock's adaptation of the novel (1960) laid down the parameters for a variety of genres: the serial killer movie, the slasher film, and the modern big-budget horror film which utilises above-the-title stars rather than the journeyman actors who had populated such fare previously. But above all else, Hitchcock and his talented screenwriter Joseph Stefano created a template for the intelligent, richly developed, and charismatic fictional serial killer in their version of Norman Bates. Hitchcock's film was to influence a generation of film-makers and writers; among them Thomas Harris.
Eduardo Cattani, Fouad El Zein, Phillip A. Griffiths, and Lê Dung Tráng
- Published in print:
- 2014
- Published Online:
- October 2017
- ISBN:
- 9780691161341
- eISBN:
- 9781400851478
- Item type:
- book
- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691161341.001.0001
- Subject:
- Mathematics, Geometry / Topology
This book provides a comprehensive and up-to-date introduction to Hodge theory—one of the central and most vibrant areas of contemporary mathematics—from leading specialists on the subject. The ...
More
This book provides a comprehensive and up-to-date introduction to Hodge theory—one of the central and most vibrant areas of contemporary mathematics—from leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps. Of particular interest is the study of algebraic cycles, including the Hodge and Bloch–Beilinson Conjectures. Based on lectures delivered at the 2010 Summer School on Hodge Theory at the ICTP in Trieste, Italy, the book is intended for a broad group of students and researchers. The exposition is as accessible as possible and does not require a deep background. At the same time, the book presents some topics at the forefront of current research. The book is divided between introductory and advanced lectures. The introductory lectures address Kähler manifolds, variations of Hodge structure, mixed Hodge structures, the Hodge theory of maps, period domains and period mappings, algebraic cycles (up to and including the Bloch–Beilinson conjecture) and Chow groups, sheaf cohomology, and a new treatment of Grothendieck's algebraic de Rham theorem. The advanced lectures address a Hodge-theoretic perspective on Shimura varieties, the spread philosophy in the study of algebraic cycles, absolute Hodge classes (including a new, self-contained proof of Deligne's theorem on absolute Hodge cycles), and variation of mixed Hodge structures.Less
This book provides a comprehensive and up-to-date introduction to Hodge theory—one of the central and most vibrant areas of contemporary mathematics—from leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps. Of particular interest is the study of algebraic cycles, including the Hodge and Bloch–Beilinson Conjectures. Based on lectures delivered at the 2010 Summer School on Hodge Theory at the ICTP in Trieste, Italy, the book is intended for a broad group of students and researchers. The exposition is as accessible as possible and does not require a deep background. At the same time, the book presents some topics at the forefront of current research. The book is divided between introductory and advanced lectures. The introductory lectures address Kähler manifolds, variations of Hodge structure, mixed Hodge structures, the Hodge theory of maps, period domains and period mappings, algebraic cycles (up to and including the Bloch–Beilinson conjecture) and Chow groups, sheaf cohomology, and a new treatment of Grothendieck's algebraic de Rham theorem. The advanced lectures address a Hodge-theoretic perspective on Shimura varieties, the spread philosophy in the study of algebraic cycles, absolute Hodge classes (including a new, self-contained proof of Deligne's theorem on absolute Hodge cycles), and variation of mixed Hodge structures.
Thomas Ihn
- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780199534425
- eISBN:
- 9780191715297
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199534425.003.0003
- Subject:
- Physics, Condensed Matter Physics / Materials
This chapter reviews the elements of band structure calculations, and introduces Bloch's theorem and the first Brillouin zone. It discusses various techniques for performing bandstructure ...
More
This chapter reviews the elements of band structure calculations, and introduces Bloch's theorem and the first Brillouin zone. It discusses various techniques for performing bandstructure calculations such as the free electron model, the pseudopotential method, and the tight binding approximation. It presents case studies for pseudopotential calculations of diamond and zincblende semiconductors, and for tight binding studies of the graphene band structure. It introduces the electron spin and spin orbit interaction effects relevant for the band structure. After the presentation of the band structure of a few important semiconductors, it discusses k.p perturbation theory including spin-orbit interaction effects. The chapter also describes the notion of the density of states and of constant energy surfaces, and the occupation statistics of semiconductor band structures. Selected band structure measurement techniques, such as optical interband transitions and photoemission spectroscopy are discussed.Less
This chapter reviews the elements of band structure calculations, and introduces Bloch's theorem and the first Brillouin zone. It discusses various techniques for performing bandstructure calculations such as the free electron model, the pseudopotential method, and the tight binding approximation. It presents case studies for pseudopotential calculations of diamond and zincblende semiconductors, and for tight binding studies of the graphene band structure. It introduces the electron spin and spin orbit interaction effects relevant for the band structure. After the presentation of the band structure of a few important semiconductors, it discusses k.p perturbation theory including spin-orbit interaction effects. The chapter also describes the notion of the density of states and of constant energy surfaces, and the occupation statistics of semiconductor band structures. Selected band structure measurement techniques, such as optical interband transitions and photoemission spectroscopy are discussed.
Judith Chazin-Bennahum
- Published in print:
- 2011
- Published Online:
- September 2011
- ISBN:
- 9780195399332
- eISBN:
- 9780199897025
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195399332.003.0003
- Subject:
- Music, Dance
Letters from Marcel Proust tell the extraordinary story of their friendship as well as Proust’s profound appreciation for the fact that René arranged for the publication of Swann’s Way by the ...
More
Letters from Marcel Proust tell the extraordinary story of their friendship as well as Proust’s profound appreciation for the fact that René arranged for the publication of Swann’s Way by the publisher Bernard Grasset. The chapter follows the evolution of their relationship from 1902 until the end of Proust’s life in 1922. It details the literary bond that emerged in 1913 when Proust, still distraught over his book’s rejection, sought a publisher. Blum responded patiently and encouragingly to all of Proust’s pleas to protect his manuscript. Discussing the original process on the nature of memory that Proust used in his writings, his letters also describe the challenges of his painful illnesses. The chapter recounts what might be considered Proust’s betrayal of Bernard Grasset, whom Proust left for André Gide and the editors of Nouvelle Revue Française as publisher of his later books. It was a complicated divorce, one that occurred against the backdrop of the tragic events of World War I. This chapter ties one of Proust’s characters, Albert Bloch, to the personality of René Blum. It ends with a 1925 letter inviting Blum to write a book with the Proust scholar Léon Pierre-Quint—an invitation that Blum had to decline due to his overwhelming responsibilities as artistic director of the Théâtre de Monte-Carlo.Less
Letters from Marcel Proust tell the extraordinary story of their friendship as well as Proust’s profound appreciation for the fact that René arranged for the publication of Swann’s Way by the publisher Bernard Grasset. The chapter follows the evolution of their relationship from 1902 until the end of Proust’s life in 1922. It details the literary bond that emerged in 1913 when Proust, still distraught over his book’s rejection, sought a publisher. Blum responded patiently and encouragingly to all of Proust’s pleas to protect his manuscript. Discussing the original process on the nature of memory that Proust used in his writings, his letters also describe the challenges of his painful illnesses. The chapter recounts what might be considered Proust’s betrayal of Bernard Grasset, whom Proust left for André Gide and the editors of Nouvelle Revue Française as publisher of his later books. It was a complicated divorce, one that occurred against the backdrop of the tragic events of World War I. This chapter ties one of Proust’s characters, Albert Bloch, to the personality of René Blum. It ends with a 1925 letter inviting Blum to write a book with the Proust scholar Léon Pierre-Quint—an invitation that Blum had to decline due to his overwhelming responsibilities as artistic director of the Théâtre de Monte-Carlo.
JOHN C. H. SPENCE
- Published in print:
- 2008
- Published Online:
- January 2010
- ISBN:
- 9780199552757
- eISBN:
- 9780191708664
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199552757.003.0005
- Subject:
- Physics, Atomic, Laser, and Optical Physics
This chapter introduces many-beam high-resolution imaging by first analysing in detail the case of two or three beams, and showing how aberrations may be arranged to cancel by using off-axis ...
More
This chapter introduces many-beam high-resolution imaging by first analysing in detail the case of two or three beams, and showing how aberrations may be arranged to cancel by using off-axis illumination (as later related to Ptychography). The phenomenon of Fourier or Talbot imaging is reviewed, and the images are shown to be periodic in some aberration coefficients. The manner in which a finite incident beam divergence limits depth of field is explained. The main results of kinematic, two-beam, and the charge-density approximations are given. The full multiple scattering theory is then given, symmetry reduction of the dispersion matrix reviewed, and discussions are provided of partial coherence with multiple scattering, absorption effects due to inelastic scattering with multiple scattering, dynamically forbidden reflections, and the relationship between the various formulations (and sign conventions) of high energy electron scattering theory. A case study of imaging in germanium is given, showing the masking effect of Fourier imaging on defects. The chapter ends with case studies from materials science — imaging dislocation kinks, complex oxides, minerals, quasicrystals, interfaces.Less
This chapter introduces many-beam high-resolution imaging by first analysing in detail the case of two or three beams, and showing how aberrations may be arranged to cancel by using off-axis illumination (as later related to Ptychography). The phenomenon of Fourier or Talbot imaging is reviewed, and the images are shown to be periodic in some aberration coefficients. The manner in which a finite incident beam divergence limits depth of field is explained. The main results of kinematic, two-beam, and the charge-density approximations are given. The full multiple scattering theory is then given, symmetry reduction of the dispersion matrix reviewed, and discussions are provided of partial coherence with multiple scattering, absorption effects due to inelastic scattering with multiple scattering, dynamically forbidden reflections, and the relationship between the various formulations (and sign conventions) of high energy electron scattering theory. A case study of imaging in germanium is given, showing the masking effect of Fourier imaging on defects. The chapter ends with case studies from materials science — imaging dislocation kinks, complex oxides, minerals, quasicrystals, interfaces.
Xiaodong Zou, Sven Hovmöller, and Peter Oleynikov
- Published in print:
- 2011
- Published Online:
- January 2012
- ISBN:
- 9780199580200
- eISBN:
- 9780191731211
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199580200.003.0012
- Subject:
- Physics, Crystallography: Physics
The principles behind simulation of images and electron diffraction patterns are described. The parameters that affect HRTEM images and ED patterns are crystal structure, orientation and thickness, ...
More
The principles behind simulation of images and electron diffraction patterns are described. The parameters that affect HRTEM images and ED patterns are crystal structure, orientation and thickness, as well as the electron optics. The multislice and Bloch-wave methods are described and compared.Less
The principles behind simulation of images and electron diffraction patterns are described. The parameters that affect HRTEM images and ED patterns are crystal structure, orientation and thickness, as well as the electron optics. The multislice and Bloch-wave methods are described and compared.
Maciej Lewenstein, Anna Sanpera, and Verònica Ahufinger
- Published in print:
- 2012
- Published Online:
- December 2013
- ISBN:
- 9780199573127
- eISBN:
- 9780191775048
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199573127.003.0003
- Subject:
- Physics, Atomic, Laser, and Optical Physics
This chapter describes basic methods to realise optical potentials and optical lattices, listing in detail what can be controlled in ultracold atomic systems. It revisits the properties of ...
More
This chapter describes basic methods to realise optical potentials and optical lattices, listing in detail what can be controlled in ultracold atomic systems. It revisits the properties of non-interacting particles in periodic lattices: band structure, Bloch functions, and Wannier states. The chapter derives the Hubbard model in the tight binding approximation, and discusses Bose–Einstein condensates in optical lattices in a weak interacting limit, and in a strongly correlated regime.Less
This chapter describes basic methods to realise optical potentials and optical lattices, listing in detail what can be controlled in ultracold atomic systems. It revisits the properties of non-interacting particles in periodic lattices: band structure, Bloch functions, and Wannier states. The chapter derives the Hubbard model in the tight binding approximation, and discusses Bose–Einstein condensates in optical lattices in a weak interacting limit, and in a strongly correlated regime.
