A modern approach to functional integration

書誌事項

A modern approach to functional integration

John R. Klauder

(Applied and numerical harmonic analysis / series editor, John J. Benedetto)

Birkhäuser , Springer, c2011

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注記

Bibliography: p. 269-273

Includes index

内容説明・目次

内容説明

This text takes advantage of recent developments in the theory of path integration and attempts to make a major paradigm shift in how the art of functional integration is practiced. The techniques developed in the work will prove valuable to graduate students and researchers in physics, chemistry, mathematical physics, and applied mathematics who find it necessary to deal with solutions to wave equations, both quantum and beyond. A Modern Approach to Functional Integration offers insight into a number of contemporary research topics, which may lead to improved methods and results that cannot be found elsewhere in the textbook literature. Exercises are included in most chapters, making the book suitable for a one-semester graduate course on functional integration.

目次

Preface.- Introduction.- Part I: Stochastic Theory.- Probability.- Infinite-Dimensional Integrals.- Stochastic Variable Theory.- Part II: Quantum Theory.- Background to an Analysis of Quantum Mechanics.- Quantum Mechanical Path Integrals.- Coherent State Path Integrals.- Continuous-Time Regularized Path Integrals.- Classical and Quantum Constraints.- Part III: Quantum Field Theory.- Application to Quantum Field Theory.- A Modern Approach to Nonrenormalizable Models.- References.- Index.

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詳細情報

  • NII書誌ID(NCID)
    BB04210185
  • ISBN
    • 9780817647902
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    [S.l.],New York
  • ページ数/冊数
    xv, 279 p.
  • 大きさ
    25 cm
  • 分類
  • 親書誌ID
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