New shape-invariant potentials in supersymmetric quantum mechanics

Khare, A. ; Sukhatme, U. P. (1993) New shape-invariant potentials in supersymmetric quantum mechanics Journal of Physics A: Mathematical and General, 26 (18). L901-L904. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/26/18/003

Related URL: http://dx.doi.org/10.1088/0305-4470/26/18/003

Abstract

Quantum mechanical potentials satisfying the property of shape invariance are well known to be algebraically solvable. Using a scaling ansatz for the change of parameters, the authors obtain a large class of new shape-invariant potentials which are reflectionless and possess an infinite number of bound states. They can be viewed as q-deformations of the single soliton solution corresponding to the Rosen-Morse potential. Explicit expressions for energy eigenvalues, eigenfunctions and transmission coefficients are given. Included in the potentials as a special case is the self-similar potential recently discussed by Shabat (1992) and Spiridonov (1992).

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics.
ID Code:82045
Deposited On:09 Feb 2012 05:09
Last Modified:18 May 2016 23:23

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