Path Integral Solutions for Deformed P"oschl-Teller-like and Conditionally Solvable Potentials

Details Path Integral Solutions for Deformed P"oschl-Teller-like and Conditionally Solvable Potentials Path Integral Solutions for Deformed P"oschl-Teller-like and Conditionally Solvable Potentials

1999-02-05

arxiv.org/abs/quant-ph/9902017v1

J.Phys. A38 (2005) 2947-2958

Physics

Quantum Physics

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Scientific paper

10.1088/0305-4470/38/13/009

I discuss in this paper the behaviour of the solutions of the so-called
q-hyperbolic potentials, i.e. P"oschl-Teller-like and conditionally solvable
potentials, in terms of the path integral formalism. The differences in
comparison to the usual P"oschl-Teller-like potentials are investigated,
including the discrete energy spectra and the bound state wave-functions.

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