Skip to main content
SpringerLink
Log in

Quantum Physics

A Functional Integral Point of View

Overview

Authors:
  1. James Glimm

    1. The Rockefeller University, New York, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Arthur Jaffe

    1. Harvard University, Cambridge, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (20 chapters)

  1. Front Matter

    Pages i-xx
    Download chapter PDF

  2. An Introduction to Modern Physics

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Quantum Theory

      • James Glimm, Arthur Jaffe
      Pages 3-27

    3. Classical Statistical Mechanics

      • James Glimm, Arthur Jaffe
      Pages 28-41

    4. The Feynman—Kac Formula

      • James Glimm, Arthur Jaffe
      Pages 42-54

    5. Correlation Inequalities and the Lee—Yang Theorem

      • James Glimm, Arthur Jaffe
      Pages 55-71

    6. Phase Transitions and Critical Points

      • James Glimm, Arthur Jaffe
      Pages 72-87

    7. Field Theory

      • James Glimm, Arthur Jaffe
      Pages 88-119

  3. Function Space Integrals

    1. Front Matter

      Pages 121-121
      Download chapter PDF

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

      • James Glimm, Arthur Jaffe
      Pages 123-143

    3. Quantization = Integration over Function Space

      • James Glimm, Arthur Jaffe
      Pages 144-165

    4. Calculus and Renormalization on Function Space

      • James Glimm, Arthur Jaffe
      Pages 166-192

    5. Estimates Independent of Dimension

      • James Glimm, Arthur Jaffe
      Pages 193-212

    6. Fields Without Cutoffs

      • James Glimm, Arthur Jaffe
      Pages 213-218

    7. Regularity and Axioms

      • James Glimm, Arthur Jaffe
      Pages 219-233

  4. The Physics of Quantum Fields

    1. Front Matter

      Pages 235-235
      Download chapter PDF

    2. Scattering Theory: Time-Dependent Methods

      • James Glimm, Arthur Jaffe
      Pages 237-255

    3. Scattering Theory: Time-Independent Methods

      • James Glimm, Arthur Jaffe
      Pages 256-269

    4. The Magnetic Moment of the Electron

      • James Glimm, Arthur Jaffe
      Pages 270-279

    5. Phase Transitions

      • James Glimm, Arthur Jaffe
      Pages 280-302
Back to top

Keywords

About this book

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.

Authors and Affiliations

  • The Rockefeller 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/10.1007/978-1-4684-0121-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1981

  • eBook ISBN: 978-1-4684-0121-9Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: 417

  • Topics: Acoustics, Quantum Physics, Quantum Information Technology, Spintronics

Publish with us

Policies and ethics

Back to top

Search

Navigation