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Path integration at the crossroad of stochastic and differential calculus

  • Cécile DeWitt-Morette
Gauge Theories III
Part of the Lecture Notes in Physics book series (LNP, volume 176)

Keywords

Diffusion Equation Stochastic Differential Equation Fibre Bundle Path Integration Parallel Transport 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    C. DeWitt-Morette, A. Maheshwari and B. Nelson, “Path Integration in Non-Relativistic Quantum Mechanics,” Physics Reports 50 (1982), 255–372.Google Scholar
  2. [2]
    K. D. Elworthy and A. Truman, “The Diffusion Equation and Classical Mechanics: An elementary formula”. To appear in Stochastic Processes in Quantum Theory and Statistical Physics: Recent Progress and Applications, S. A. Albeverio, M. Sirugue and M. Sirugue-Collin, eds., (Springer Verlag Lecture Notes in Physics).Google Scholar
  3. [3]
    C. DeWitt-Morette, K. D. Elworthy, B. L. Nelson and G. S. Sammelmann, “A stochastic scheme for constructing solutions of the Schrödinger equation,” Ann. Inst. Henri Poincaré 32 (1980), 327–341.Google Scholar
  4. [4]
    C. DeWitt-Morette, “Path Integration Quantization” (An expanded version of this talk with a more complete bibliography, presented at the III Marcel Grossmann conference, Shanghai, August 1982).Google Scholar
  5. [5]
    B. Simon, The P(φ)2 Euclidean (Quantum) Field Theory, Princeton University Press (1974).Google Scholar
  6. [6]
    J. Glimm and A. Jaffe, Quantum Physics: A Functional Integral Point of View, Springer Verlag, New York (1981).Google Scholar
  7. [7]
    K. D. Elworthy, Stochastic Differential Equations of Manifolds, Cambridge University Press (1982).Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Cécile DeWitt-Morette
    • 1
  1. 1.Department of Astronomy and Center for RelativityThe University of TexasAustin

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