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- W2000406396 endingPage "385202" @default.
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- W2000406396 abstract "Within the framework of supersymmetric quantum mechanics, we study the simplified version of potential algebra of shape invariance condition in k steps, where k is an arbitrary positive integer. The associated potential algebra is found to be equivalent to the generalized deformed oscillator algebra that has a built-in Z_k-grading structure. The algebraic realization of shape invariance condition in k steps is therefore formulated by the method of Z_k-graded deformed oscillator. Based on this formulation, we explicitly construct the general algebraic properties for shape invariant potentials in k steps, in which the parameters of partner potentials are related to each other by translation a_1 = a_0 + delta. The obtained results include the cyclic shape invariant potentials of period k as a special case." @default.
- W2000406396 created "2016-06-24" @default.
- W2000406396 creator A5079424278 @default.
- W2000406396 date "2009-09-01" @default.
- W2000406396 modified "2023-10-16" @default.
- W2000406396 title "Algebraic shape invariant potentials as the generalized deformed oscillator" @default.
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- W2000406396 doi "https://doi.org/10.1088/1751-8113/42/38/385202" @default.
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