The Knife Edge Problem

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


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.


Free Particle Continuous Path Jacobi Operator Semiclassical Approximation Shadow Region 
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  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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