Mapping of Shape Invariant Potentials by the Point Canonical Transformation |
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| Authors: | Mohammad R. Setare Ebrahim Karimi |
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| Affiliation: | (1) Department of Science, Payame Noor University, Bijar, Iran;(2) Dipartimento di Scienze Fisiche, Università di Napoli “Federico II”, Complesso di Monte S. Angelo, via Cintia, 80126 Napoli, Italy |
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| Abstract: | In this paper by using the method of point canonical transformation we find that the Coulomb and Kratzer potentials can be mapped to the Morse potential. Then we show that the Pöschl-Teller potential type I belongs to the same subclass of shape invariant potentials as Hulthén potential. Also we show that the shape-invariant algebra for Coulomb, Kratzer, and Morse potentials is SU(1,1), while the shape-invariant algebra for Pöschl-Teller type I and Hulthén is SU(2). |
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| Keywords: | Point canonical transformation Supersymmetric quantum mechanics Shape-invariant |
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