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Quantum Physics

A Functional Integral Point of View

  • Book
  • © 1987

Overview

Authors:
  1. James Glimm

    1. Courant Institute for Mathematical Sciences, New York University, New York, USA

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  2. Arthur Jaffe

    1. Harvard University, Cambridge, USA

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Table of contents (23 chapters)

  1. Front Matter

    Pages i-xxii
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  2. An Introduction to Modern Physics

    1. Front Matter

      Pages 1-1
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    2. Quantum Theory

      • James Glimm, Arthur Jaffe
      Pages 3-27

    3. Classical Statistical Mechanics

      • James Glimm, Arthur Jaffe
      Pages 28-42

    4. The Feynman-Kac Formula

      • James Glimm, Arthur Jaffe
      Pages 43-55

    5. Correlation Inequalities and the Lee-Yang Theorem

      • James Glimm, Arthur Jaffe
      Pages 56-72

    6. Phase Transitions and Critical Points

      • James Glimm, Arthur Jaffe
      Pages 73-89

    7. Field Theory

      • James Glimm, Arthur Jaffe
      Pages 90-121

  3. Back Matter

    Pages 122-155
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  4. Function Space Integrals

    1. Front Matter

      Pages 157-157
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    2. Covariance Operator = Green’s Function = Resolvent Kernel = Euclidean Propagator = Fundamental Solution

      • James Glimm, Arthur Jaffe
      Pages 159-179

    3. Quantization = Integration over Function Space

      • James Glimm, Arthur Jaffe
      Pages 180-201

    4. Calculus and Renormalization on Function Space

      • James Glimm, Arthur Jaffe
      Pages 202-228

    5. Estimates Independent of Dimension

      • James Glimm, Arthur Jaffe
      Pages 229-248

    6. Fields Without Cutoffs

      • James Glimm, Arthur Jaffe
      Pages 249-254

    7. Regularity and Axioms

      • James Glimm, Arthur Jaffe
      Pages 255-269

  5. The Physics of Quantum Fields

    1. Front Matter

      Pages 271-271
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    2. Scattering Theory: Time-Dependent Methods

      • James Glimm, Arthur Jaffe
      Pages 273-291

    3. Scattering Theory: Time-Independent Methods

      • James Glimm, Arthur Jaffe
      Pages 292-305

    4. The Magnetic Moment of the Electron

      • James Glimm, Arthur Jaffe
      Pages 306-315
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Keywords

About this book

Describes fifteen years' work which has led to the construc- tion of solutions to non-linear relativistic local field e- quations in 2 and 3 space-time dimensions. Gives proof of the existence theorem in 2 dimensions and describes many properties of the solutions.

Authors and Affiliations

  • Courant Institute for Mathematical Sciences, New York University, New York, USA

    James Glimm

  • Harvard University, Cambridge, USA

    Arthur Jaffe

Bibliographic Information

  • Book Title: Quantum Physics

  • Book Subtitle: A Functional Integral Point of View

  • Authors: James Glimm, Arthur Jaffe

  • DOI: https://doi.org/10.1007/978-1-4612-4728-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1987

  • Softcover ISBN: 978-0-387-96477-5Published: 04 May 1987

  • eBook ISBN: 978-1-4612-4728-9Published: 06 December 2012

  • Edition Number: 2

  • Number of Pages: 535

  • Topics: Quantum Physics, Quantum Information Technology, Spintronics

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