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The Knife Edge Problem

  • Stephen G. Low
Conference paper
Part of the Acta Physica Austriaca book series (FEWBODY, volume 26/1984)

Abstract

This paper is a discussion of the semi-classical limit of the propagator in 1 space, 1 time dimension in the case that there is no classical path to expand about.

Keywords

Free Particle Continuous Path Jacobi Operator Semiclassical Approximation Shadow Region 
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.
    L.S. Schulman, “Ray Optics for Diffraction: A Useful Paradox in a Path Integral Context”,in: Le Dualisme Onde-Corpuscule, Eds. S. Diner, D. Fargue, G. Lochak, and F. Selleri (Reidel, Dordrecht, 1983).Google Scholar
  2. 2.
    L.S. Schulman, “Exact time-dependent Green ’s function for the half-plane barrier”, Phys. Rev. Letters 49 (1982) 599–601.CrossRefADSMathSciNetGoogle Scholar
  3. 3.
    R.P. Feynman and A.R. Hibbs, “Quantum Mechanics and Path Integrals” (McGraw-Hill, New York, 1965), pp. 47–56.MATHGoogle Scholar
  4. 4.
    I.S. Gradshteyn and I.M. Ryzhik, “Tables of Integrals, Series, and Products” (Academic Press, New York, 1980).Google Scholar
  5. 5.
    C. DeWitt-Morette, “The Semiclassical Expansion”, Annals of Physics 97 (1975) 367–399.CrossRefADSMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • Stephen G. Low
    • 1
    • 2
  1. 1.Dept. of PhysicsThe University of Texas at AustinAustinUSA
  2. 2.Zentrum für Interdisziplinäre ForschungUniversität BielefeldBielefeld 1FR Germany

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