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Uniform semiclassical approximation to supersymmetric quantum mechanics

S. H. Fricke, A. B. Balantekin, P. J. Hatchell, and T. Uzer
Phys. Rev. A 37, 2797 – Published 1 April 1988
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Abstract

Recently, A. Comtet, A. D. Bandrauk, and D. K. Campbell [Phys. Lett. 150, 159 (1985)] introduced a modified semiclassical quantization rule motivated by the structure of supersymmetric quantum mechanics. In this paper, following their modified semiclassical framework, we provide a method to obtain wave functions in a uniform approximation. We demonstrate our method by constructing wave functions for the Morse, Rosen-Morse, and anharmonic oscillator potentials. Accurate fits to the wave functions are found for all three potentials.

  • Received 23 October 1987

DOI:https://doi.org/10.1103/PhysRevA.37.2797

©1988 American Physical Society

Authors & Affiliations

S. H. Fricke, A. B. Balantekin, and P. J. Hatchell

  • Physics Department, University of Wisconsin, Madison, Wisconsin 53706

T. Uzer

  • School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332

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Vol. 37, Iss. 8 — April 1988

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