An algebraic q-deformed form for shape-invariant systems

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Published 5 November 2003 2003 IOP Publishing Ltd
, , Citation A N F Aleixo et al 2003 J. Phys. A: Math. Gen. 36 11631 DOI 10.1088/0305-4470/36/46/007

0305-4470/36/46/11631

Abstract

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

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