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)


Diffusion Equation Stochastic Differential Equation Fibre Bundle Path Integration Parallel Transport 
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    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
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    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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