An Algebraic q-Deformed Form for Shape-Invariant Systems

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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Cited by in corpus (4)

• Fractional supersymmetry and hierarchy of shape invariant potentials
• (p,q)-Deformations and (p,q)-Vector Coherent States of the Jaynes-Cummings Model in the Rotating Wave Approximation
• Shape invariance through Crum transformation
• Ladder operators and squeezed coherent states of a 3-dimensional generalized isotonic nonlinear oscillator