Quantum Physics

A Functional Integral Point of View

  • James Glimm
  • Arthur Jaffe

Table of contents

  1. Front Matter
    Pages i-xx
  2. An Introduction to Modern Physics

    1. Front Matter
      Pages 1-1
    2. James Glimm, Arthur Jaffe
      Pages 3-27
    3. James Glimm, Arthur Jaffe
      Pages 28-41
    4. James Glimm, Arthur Jaffe
      Pages 42-54
    5. James Glimm, Arthur Jaffe
      Pages 55-71
    6. James Glimm, Arthur Jaffe
      Pages 72-87
    7. James Glimm, Arthur Jaffe
      Pages 88-119
  3. Function Space Integrals

    1. Front Matter
      Pages 121-121
    2. James Glimm, Arthur Jaffe
      Pages 144-165
    3. James Glimm, Arthur Jaffe
      Pages 166-192
    4. James Glimm, Arthur Jaffe
      Pages 193-212
    5. James Glimm, Arthur Jaffe
      Pages 213-218
    6. James Glimm, Arthur Jaffe
      Pages 219-233
  4. The Physics of Quantum Fields

    1. Front Matter
      Pages 235-235
    2. James Glimm, Arthur Jaffe
      Pages 237-255
    3. James Glimm, Arthur Jaffe
      Pages 256-269
    4. James Glimm, Arthur Jaffe
      Pages 270-279
    5. James Glimm, Arthur Jaffe
      Pages 280-302

About this book

Introduction

This book is addressed to one problem and to three audiences. The problem is the mathematical structure of modem physics: statistical physics, quantum mechanics, and quantum fields. The unity of mathemati­ cal structure for problems of diverse origin in physics should be no surprise. For classical physics it is provided, for example, by a common mathematical formalism based on the wave equation and Laplace's equation. The unity transcends mathematical structure and encompasses basic phenomena as well. Thus particle physicists, nuclear physicists, and con­ densed matter physicists have considered similar scientific problems from complementary points of view. The mathematical structure presented here can be described in various terms: partial differential equations in an infinite number of independent variables, linear operators on infinite dimensional spaces, or probability theory and analysis over function spaces. This mathematical structure of quantization is a generalization of the theory of partial differential equa­ tions, very much as the latter generalizes the theory of ordinary differential equations. Our central theme is the quantization of a nonlinear partial differential equation and the physics of systems with an infinite number of degrees of freedom. Mathematicians, theoretical physicists, and specialists in mathematical physics are the three audiences to which the book is addressed. Each of the three parts is written with a different scientific perspective.

Keywords

Finite Identity Phase Physics Wave calculus equation function proof scattering theory theorem

Authors and affiliations

  • James Glimm
    • 1
  • Arthur Jaffe
    • 2
  1. 1.The Rockefeller UniversityNew YorkUSA
  2. 2.Harvard UniversityCambridgeUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4684-0121-9
  • Copyright Information Springer-Verlag New York 1981
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-90562-4
  • Online ISBN 978-1-4684-0121-9
  • About this book