Chaturvedi, S. ; Dutt, R. ; Gangopadhyaya, A. ; Panigrahi, P. ; Rasinariu, C. ; Sukhatme, U. (1998) Algebraic shape invariant models Physics Letters A, 248 (2-4). pp. 109-113. ISSN 0375-9601
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S03759...
Related URL: http://dx.doi.org/10.1016/S0375-9601(98)00636-7
Abstract
Motivated by the shape invariance condition in supersymmetric quantum mechanics, we develop an algebraic framework for shape invariant Hamiltonians with a general change of parameters. This approach involves nonlinear generalizations of Lie algebras. Our work extends prsvious results showing the equivalence of shape invariant potentials involving a translational change of parameters with a standard SO(2, 1) potential algebra for Natanzon type potentials.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 7005 |
| Deposited On: | 26 Oct 2010 04:40 |
| Last Modified: | 16 May 2016 17:15 |
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