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Externalist Cases and Internalist Theory

Joseph Mendola

in Anti-Externalism

Published in print:
2008
Published Online:
January 2009
ISBN:
9780199534999
eISBN:
9780191715969
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199534999.003.0002
Subject:
Philosophy, Philosophy of Mind, Metaphysics/Epistemology

The dominant roots of externalism are the Twin Earth and Elm-Beech cases of Hilary Putnam, the Arthritis case of Tyler Burge, and the Feynman-Gell-Mann, Gödel-Schmidt, and Aristotle cases of Saul ... More


GENESIS OF QUANTUM ANOMALIES

Kazuo Fujikawa and Hiroshi Suzuki

in Path Integrals and Quantum Anomalies

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198529132
eISBN:
9780191712821
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198529132.003.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter reviews the history of quantum anomalies. The original indication of the anomaly appeared immediately after the modern formulation of field theory, namely, renormalization theory. ... More


THE FEYNMAN PATH INTEGRAL AND SCHWINGER'S ACTION PRINCIPLE

Kazuo Fujikawa and Hiroshi Suzuki

in Path Integrals and Quantum Anomalies

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198529132
eISBN:
9780191712821
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198529132.003.0002
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter provides a brief introduction to the basics of quantum field theory. The basic ideas of Feynman path integrals and Schwinger’s action principle, a knowledge of which is required to ... More


REGULARIZATION OF FIELD THEORY AND CHIRAL ANOMALIES

Kazuo Fujikawa and Hiroshi Suzuki

in Path Integrals and Quantum Anomalies

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198529132
eISBN:
9780191712821
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198529132.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter illustrates the regularization of field theory by taking quantum electrodynamics (QED) as an example, showing that the mass of the photon remains at 0 even after higher-order quantum ... More


LATTICE DYNAMICS

A.M. Stoneham

in Theory of Defects in Solids: Electronic Structure of Defects in Insulators and Semiconductors

Published in print:
2001
Published Online:
September 2007
ISBN:
9780198507802
eISBN:
9780191709920
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507802.003.0003
Subject:
Physics, Condensed Matter Physics / Materials

This chapter examines the key approximations in crystal lattice dynamics in a way that is particularly helpful for defect studies. It discusses the Born-Oppenheimer approximation, the adiabatic ... More


Coherent Interactions of Fields and Atoms

Stephen C. Rand

in Lectures on Light: Nonlinear and Quantum Optics using the Density Matrix

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199574872
eISBN:
9780191722219
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199574872.003.0005
Subject:
Physics, Atomic, Laser, and Optical Physics

Chapter 5 begins the systematic application of the density matrix to describe optical interactions. First, stationary two‐ and three‐level atoms interacting with a traveling wave are compared to show ... More


Climbing the Mountain: The Scientific Biography of Julian Schwinger

Jagdish Mehra and Kimball Milton

Published in print:
2003
Published Online:
February 2010
ISBN:
9780198527459
eISBN:
9780191709593
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198527459.001.0001
Subject:
Physics, History of Physics

Julian Schwinger was one of the leading theoretical physicists of the 20th century. His contributions are as important, and as pervasive, as those of Richard Feynman, with whom he shared the 1965 ... More


Exploiting the Variational Principle

Mike Finnis

in Interatomic Forces in Condensed Matter

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198509776
eISBN:
9780191709180
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509776.003.0003
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter begins with a discussion of the ubiquitous theorem that underlies much of the theory of interatomic forces, namely the Hellmann–Feynman theorem, and its derivation from the variational ... More


FUNCTIONAL INTEGRALS

Robert M. Mazo

in Brownian Motion: Fluctuations, Dynamics, and Applications

Published in print:
2008
Published Online:
January 2010
ISBN:
9780199556441
eISBN:
9780191705625
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199556441.003.0006
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses a different kind of integral, functional integrals or Wiener integrals. The idea of an integral over a space of functions is introduced. The way to define such an integral ... More


Open Quantum Electrodynamics

Heinz-Peter Breuer and Francesco Petruccione

in The Theory of Open Quantum Systems

Published in print:
2007
Published Online:
January 2010
ISBN:
9780199213900
eISBN:
9780191706349
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199213900.003.12
Subject:
Physics, Theoretical, Computational, and Statistical Physics

In quantum electrodynamics, the matter degrees of freedom are coupled to the radiation field through a local, gauge-invariant interaction density. Due to the linear structure of this coupling, the ... More


Anomalies in QFT

Reinhold A. Bertlmann

in Anomalies in Quantum Field Theory

Published in print:
2000
Published Online:
January 2010
ISBN:
9780198507628
eISBN:
9780191706400
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507628.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter investigates the anomaly within standard mathematical techniques. It works predominantly in perturbation theory, calculating Feynman diagrams. It shows in detail the occurrence of the ... More


The diversions of a gentle genius

JAGDISH MEHRA and KIMBALL A. MILTON

in Climbing the Mountain: The Scientific Biography of Julian Schwinger

Published in print:
2003
Published Online:
February 2010
ISBN:
9780198527459
eISBN:
9780191709593
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198527459.003.0016
Subject:
Physics, History of Physics

In November 1973 the UCLA Monthly, a periodical for faculty and students of the University of California at Los Angeles (UCLA), published an interview with Julian Schwinger. Since the interview ... More


Perturbative renormalization group: Explicit calculations

Jean Zinn-Justin

in Phase Transitions and Renormalization Group

Published in print:
2007
Published Online:
January 2010
ISBN:
9780199227198
eISBN:
9780191711107
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199227198.003.0010
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter uses the assumptions introduced in Chapter 9 to show that it is indeed possible to find a non-Gaussian fixed point in dimension d = 4 - e, both in models with reflection and rotation ... More


Statistical field theory: Perturbative expansion

Jean Zinn-Justin

in Phase Transitions and Renormalization Group

Published in print:
2007
Published Online:
January 2010
ISBN:
9780199227198
eISBN:
9780191711107
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199227198.003.0012
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter discusses the perturbative calculation of correlation or vertex functions expressed in terms of field (functional) integrals. The successive contributions to the perturbative expansion ... More


Quantum electrodynamics and Julian Schwinger’s path to fame

JAGDISH MEHRA and KIMBALL A. MILTON

in Climbing the Mountain: The Scientific Biography of Julian Schwinger

Published in print:
2003
Published Online:
February 2010
ISBN:
9780198527459
eISBN:
9780191709593
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198527459.003.0007
Subject:
Physics, History of Physics

In the beginning of June 1947, the Shelter Island Conference was held in New York to discuss the fundamental problems of quantum mechanics, of which J. Robert Oppenheimer was the acknowledged leader. ... More


Schwinger, Tomonaga, Feynman, and Dyson: the triumph of renormalization

JAGDISH MEHRA and KIMBALL A. MILTON

in Climbing the Mountain: The Scientific Biography of Julian Schwinger

Published in print:
2003
Published Online:
February 2010
ISBN:
9780198527459
eISBN:
9780191709593
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198527459.003.0008
Subject:
Physics, History of Physics

Barely six months after the Shelter Island Conference, which reawakened his interest in quantum electrodynamics (QED), and just three months after returning to Harvard University from his extended ... More


“There sweep great general principles which all the laws seem to follow”

Marc Lange

in Oxford Studies in Metaphysics volume 7

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199659081
eISBN:
9780191745201
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199659081.003.0006
Subject:
Philosophy, Metaphysics/Epistemology

This chapter argues that science recognizes an important distinction: between conservation laws as constraints on the fundamental forces there could be, on the one hand, and conservation laws as ... More


Topological Methods for Description of Quantum Many-Body Systems

Lucjan Jacak, Piotr Sitko, Konrad Wieczorek, and Arkadiusz Wojs

in Quantum Hall systems: Braid groups, composite fermions and fractional charge

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198528708
eISBN:
9780191713477
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528708.003.0002
Subject:
Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

This chapter presents a topological description of quantum many-body systems within the Feynman path integration formalism. Configuration spaces for the system of two particles on the one-dimensional ... More


Covariant approaches to quantum gravity

Claus Kiefer

in Quantum Gravity: Third Edition

Published in print:
2012
Published Online:
May 2012
ISBN:
9780199585205
eISBN:
9780191739378
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199585205.003.0002
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter introduces the important concept of the graviton. It discusses at some length linearized quantum gravity and its implications. A central role is played by path-integral quantization from ... More


Feynman's Operational Calculus and Beyond: Noncommutativity and Time-Ordering

Gerald W Johnson, Michel L. Lapidus, and Lance Nielsen

Published in print:
2015
Published Online:
September 2015
ISBN:
9780198702498
eISBN:
9780191772160
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198702498.001.0001
Subject:
Mathematics, Mathematical Physics, Numerical Analysis

This book provides an abstract theory of Feynman’s operational calculus for functions of (typically) noncommuting operators. Although it is inspired by Feynman’s original heuristic suggestions and ... More


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