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An Algebraic q-Deformed Form for Shape-Invariant Systems

A. N. F. Aleixo·A. B. Balantekin·M. A. Candido Ribeiro
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Abstract

A quantum deformed theory applicable to all shape-invariant bound-state systems is introduced by defining q-deformed ladder operators. We show these new ladder operators satisfy new q-deformed commutation relations. In this context we construct an alternative q-deformed model that preserve the shape-invariance property presented by primary system. q-deformed generalizations of Morse, Scarf, and Coulomb potentials are given as examples.

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A. N. F. Aleixo, A. B. Balantekin, M. A. Candido Ribeiro. 2003-10-09. An Algebraic q-Deformed Form for Shape-Invariant Systems. https://doi.org/10.1088/0305-4470%2F36%2F46%2F007

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