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Functional Integration

Theory and Applications

  • Book
  • © 1980

Overview

Editors:
  1. Jean-Pierre Antoine

    1. Institut de Physique Théorique, Université Catholique de Louvain, Louvain-la-Neuve, Belgium

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  2. Enrique Tirapegui

    1. Institut de Physique Théorique, Université Catholique de Louvain, Louvain-la-Neuve, Belgium

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Table of contents (23 chapters)

  1. Front Matter

    Pages i-x
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  2. Anticommutative Integration

    • Paul Krée
    Pages 1-22

  3. Stationary Phase for the Feynman Integral and Trace Formula

    • S. Albeverio, Ph. Blanchard, R. Høegh-Krohn
    Pages 23-41

  4. White Noise Analysis and the Feynman Integral

    • L. Streit
    Pages 43-52

  5. Feynman Formula and Poisson Processes for Gentle Perturbations

    • Ph. Combe, R. Høegh-Krohn, R. Rodriguez, M. Sirugue, M. Sirugue-Collin
    Pages 53-64

  6. The Classical Limit of Quantum Mechanics in a Curved Space Background

    • David Elworthy, Aubrey Truman
    Pages 65-87

  7. Integration in Hilbert Space and Quantum Theory

    • Alexander Bach
    Pages 89-100

  8. Path Integrals for Affine Variables

    • John R. Klauder
    Pages 101-119

  9. Path Integrals over Coherent States

    • Enrico Onofri
    Pages 121-124

  10. Path Integrals, Coherent States, and Geometric Quantization

    • H. P. Berg, Jan Tarski
    Pages 125-142

  11. Translational Invariance in Feynman-Type Integrals

    • Jan Tarski
    Pages 143-150

  12. Canonical Versus Functional Methods in Quantum Mechanics and Field Theory

    • A. C. Hirshfeld, H. Leschke, T. Suzuki
    Pages 151-162

  13. A Stochastic Description of Tunneling in Quantum Mechanics

    • E. Etim
    Pages 163-173

  14. Dependence of the Feynman Path Integral on Discretization the Case of a Spinless Particle in an External Electromagnetic Field

    • Włodzimierz Garczynski
    Pages 175-189

  15. Semiclassical Expansions on Riemannian Manifolds

    • F. Langouche, D. Roekaerts, E. Tirapegui
    Pages 191-205

  16. Quantization in Curved Spaces

    • H. Dekker
    Pages 207-224

  17. Intrinsic Path Integral Solution to the Fokker-Planck Equation

    • Luis Garrido, Josep Llosa
    Pages 225-248

  18. Path Integrals, Composite Operators and Mode Coupling

    • Heinz Horner
    Pages 249-261

  19. Onsager-Machlup Function of Nonlinear Non-Equilibrium Thermodynamics

    • Robert Graham
    Pages 263-280

  20. The Onsager-Machlup Lagrangian and the Optimal Control for Diffusion Processes

    • Kunio Yasue
    Pages 281-290
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Keywords

About this book

The idea of the workshop on Functional Integration, Theory and Applications, held in Louvain-Ia-Neuve from November 6 to 9 1979, was to put in close and informal contact, during a few days, active workers in the field. There is no doubt now that functional integration is a tool that is being applied in all branches of modern physics. Since the earlier works of Dirac and Feynman enormous progress has been made, but unfortunately we lack still a unifying and rigo­ rous mathematical framework to account for all the situations in which one is interested. We are then in presence of a rapid­ ly changing field in which new achievements, proposals, and points of view are the normal pattern. Considering this state of affairs we have decided to order the articles starting from the more fundamental and ambitious from the point of view of mathematical rigour, followed by ar­ ticles in which the main interest is the application to con­ crete physical situations. It is obvious that this ordering should not be taken too seriously since in many cases there will be an interplay of both objects.

Editors and Affiliations

  • Institut de Physique Théorique, Université Catholique de Louvain, Louvain-la-Neuve, Belgium

    Jean-Pierre Antoine, Enrique Tirapegui

Bibliographic Information

  • Book Title: Functional Integration

  • Book Subtitle: Theory and Applications

  • Editors: Jean-Pierre Antoine, Enrique Tirapegui

  • DOI: https://doi.org/10.1007/978-1-4615-7035-6

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Plenum Press, New York 1980

  • Softcover ISBN: 978-1-4615-7037-0Published: 12 October 2012

  • eBook ISBN: 978-1-4615-7035-6Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: X, 355

  • Topics: Software Engineering/Programming and Operating Systems

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