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Path Integrals in Quantum Mechanics

Jean Zinn-Justin

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198566748
eISBN:
9780191717994
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566748.001.0001
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

Path integrals are mathematical objects that can be considered as generalizations to an infinite number of variables, represented by paths, of usual integrals. They share the algebraic properties of ... More


Combinatorics of Demand

S. N. Afriat

in Logic of Choice and Economic Theory

Published in print:
1987
Published Online:
November 2003
ISBN:
9780198284611
eISBN:
9780191595844
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198284616.003.0009
Subject:
Economics and Finance, Microeconomics

This is the third of six chapters in Part II about demand and utility cost, a typical area for what is understood as choice theory. It discusses the combinatorics of demand. Its six sections are: ... More


BARRIER PENETRATION: SEMI-CLASSICAL APPROXIMATION

Jean Zinn-Justin

in Path Integrals in Quantum Mechanics

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198566748
eISBN:
9780191717994
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566748.003.0008
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

A classical particle is always reflected by a potential barrier if its energy is lower than the potential. In contrast, a quantum particle has a non-vanishing probability to tunnel through a barrier, ... More


Quantum mechanics and path integrals

Efstratios Manousakis

in Practical Quantum Mechanics: Modern Tools and Applications

Published in print:
2015
Published Online:
December 2015
ISBN:
9780198749349
eISBN:
9780191813474
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198749349.003.0013
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter discusses the Feymann path-integral approach to quantum mechanics. First, it derives a path integral expression for the evolution operator. Next, it shows that the classical equations of ... More


The Casimir Effect in Rectangular Boxes

M. Bordag, G. L. Klimchitskaya, U. Mohideen, and V. M. Mostepanenko

in Advances in the Casimir Effect

Published in print:
2009
Published Online:
September 2009
ISBN:
9780199238743
eISBN:
9780191716461
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199238743.003.0008
Subject:
Physics, Condensed Matter Physics / Materials, Atomic, Laser, and Optical Physics

This chapter demonstrates that the Casimir force inside a rectangular box can be both attractive and repulsive. A detailed investigation of the Casimir energy and force for fields of various spins, ... More


The Casimir Effect For Two Ideal-Metal Planes

M. Bordag, G. L. Klimchitskaya, U. Mohideen, and V. M. Mostepanenko

in Advances in the Casimir Effect

Published in print:
2009
Published Online:
September 2009
ISBN:
9780199238743
eISBN:
9780191716461
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199238743.003.0007
Subject:
Physics, Condensed Matter Physics / Materials, Atomic, Laser, and Optical Physics

This chapter considers the simple but most important configuration of two parallel ideal-metal planes. First, the theory of the scalar and electromagnetic Casimir effects between parallel planes is ... More


Dynamics VI: The classical limit of quantum fields

Anthony Duncan

in The Conceptual Framework of Quantum Field Theory

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199573264
eISBN:
9780191743313
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199573264.003.0008
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter examines the question of the classical limit of quantum fields. It discusses the mutual measurability of field observables, and the types of states of the field for which quasi-classical ... More


Perfect Gas

Jochen Rau

in Statistical Physics and Thermodynamics: An Introduction to Key Concepts

Published in print:
2017
Published Online:
November 2017
ISBN:
9780199595068
eISBN:
9780191844300
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199595068.003.0006
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The perfect gas is perhaps the most prominent application of statistical mechanics and for this reason merits a chapter of its own. This chapter briefly reviews the quantum theory of many identical ... More


Coherent States and Classical Limit of Quantum Electrodynamics

Laurent Baulieu, John Iliopoulos, and Roland Sénéor

in From Classical to Quantum Fields

Published in print:
2017
Published Online:
May 2017
ISBN:
9780198788393
eISBN:
9780191830310
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198788393.003.0022
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

The coherent state formalism is used in order to study the classical limit of quantum theories and, in particular, quantum electrodynamics. It is shown that we can construct states for which the ... More


Classical Limit and Coordinate Representation

F. Iachello and R. D. Levine

in Algebraic Theory of Molecules

Published in print:
1995
Published Online:
November 2020
ISBN:
9780195080919
eISBN:
9780197560419
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195080919.003.0010
Subject:
Chemistry, Physical Chemistry

Potential functions In this chapter we return to the question of the geometrical interpretation of the algebraic approach. Specifically, we need to make contact with the concept of the potential ... More


Ordinary objects

Jessica M. Wilson

in Metaphysical Emergence

Published in print:
2021
Published Online:
April 2021
ISBN:
9780198823742
eISBN:
9780191862526
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198823742.003.0006
Subject:
Philosophy, Metaphysics/Epistemology

Wilson considers whether ordinary (inanimate) objects are either Weakly or Strongly emergent. First, she argues that ordinary objects are at least Weakly emergent: first, by lights of a degrees of ... More


A brief review of general relativity

Iosif L. Buchbinder and Ilya L. Shapiro

in Introduction to Quantum Field Theory with Applications to Quantum Gravity

Published in print:
2021
Published Online:
April 2021
ISBN:
9780198838319
eISBN:
9780191874666
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198838319.003.0011
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

The first chapter in Part II contains basic information on general relativity and all necessary notations and formulas. The consideration is concise but rather brief; it is not meant to replace a ... More


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