Path Integrals and Quantum Processes

Author: Swanson   Mark S.  

Publisher: Elsevier Science‎

Publication year: 2012

E-ISBN: 9780323138161

P-ISBN(Paperback): 9780126789454

P-ISBN(Hardback):  9780126789454

Subject: O413 quantum theory

Language: ENG

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Description

In a clearly written and systematic presentation, Path Integrals and Quantum Processes covers all concepts necessary to understand the path integral approach to calculating transition elements, partition functions, and source functionals. The book, which assumes only a familiarity with quantum mechanics, is ideal for use as a supplemental textbook in quantum mechanics and quantum field theory courses. Graduate and post-graduate students who are unfamiliar with the path integral will also benefit from this contemporary text. Exercise sets are interspersed throughout the text to facilitate self-study.

  • Explicates the relationship between the operator and path integral formulations of quantum mechanics and quantum field theory
  • Provides a systematic and detailed presentation of Grassmann variables
  • Covers Dirac's method of constraints and the relationship of ghosts, gauge invariance, and gauge conditions in gauge field theory
  • Includes applications to statistical mechanics, the effective action and potential, and anomaly analysis

Chapter

Front Cover

pp.:  1 – 4

Copyright Page

pp.:  5 – 8

Table of Contents

pp.:  8 – 12

Preface

pp.:  12 – 14

Chapter Two. Quantum Mechanical Path Integrals

pp.:  44 – 64

Chapter Three. Evaluating the Path Integral

pp.:  64 – 88

Chapter Four. Further Applications

pp.:  88 – 130

Chapter Five. Grassmann Variables

pp.:  130 – 164

Chapter Six. Field Theory

pp.:  164 – 244

Chapter Seven. Gauge Field Theory

pp.:  244 – 324

Chapter Eight. Perturbation Theory

pp.:  324 – 370

Chapter Nine. Nonperturbative Results

pp.:  370 – 454

Index

pp.:  454 – 458

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