Mathematical theory of Feynman path integrals : an introduction

Bibliographic Information

Mathematical theory of Feynman path integrals : an introduction

Sergio A. Albeverio, Raphael J. Høegh-Krohn, Sonia Mazzucchi

(Lecture notes in mathematics, 523)

Springer, c2008

2nd corr. and enl. ed

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Note

Includes bibliographical references (p. [141]-171) and index

Description and Table of Contents

Description

The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. An entire new chapter on the current forefront of research has been added. Except for this new chapter and the correction of a few misprints, the basic material and presentation of the first edition has been maintained. At the end of each chapter the reader will also find notes with further bibliographical information.

Table of Contents

The Fresnel Integral of Functions on a Separable Real Hilbert Space.- The Feynman Path Integral in Potential Scattering.- The Fresnel Integral Relative to a Non-singular Quadratic Form.- Feynman Path Integrals for the Anharmonic Oscillator.- Expectations with Respect to the Ground State of the Harmonic Oscillator.- Expectations with Respect to the Gibbs State of the Harmonic Oscillator.- The Invariant Quasi-free States.- The Feynman History Integral for the Relativistic Quantum Boson Field.- Some Recent Developments.

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Details

  • NCID
    BA86481675
  • ISBN
    • 9783540769545
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin
  • Pages/Volumes
    x, 175 p.
  • Size
    24 cm
  • Classification
    • LCC : QA
  • Subject Headings
  • Parent Bibliography ID
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