Quantum Physics

A Functional Integral Point of View

Authors: Glimm, J., Jaffe, A.

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  • ISBN 978-1-4684-0121-9
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About this Textbook

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.

Table of contents (20 chapters)

  • Quantum Theory

    Glimm, James (et al.)

    Pages 3-27

  • Classical Statistical Mechanics

    Glimm, James (et al.)

    Pages 28-41

  • The Feynman—Kac Formula

    Glimm, James (et al.)

    Pages 42-54

  • Correlation Inequalities and the Lee—Yang Theorem

    Glimm, James (et al.)

    Pages 55-71

  • Phase Transitions and Critical Points

    Glimm, James (et al.)

    Pages 72-87

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-1-4684-0121-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Quantum Physics
Book Subtitle
A Functional Integral Point of View
Authors
Copyright
1981
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York Inc.
eBook ISBN
978-1-4684-0121-9
DOI
10.1007/978-1-4684-0121-9
Edition Number
1
Number of Pages
417
Topics