A N F Aleixo et al 2003 J. Phys. A: Math. Gen. 36 11631 doi:10.1088/0305-4470/36/46/007
A N F Aleixo1, A B Balantekin2 and M A Cândido Ribeiro3
Show affiliationsA 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.
81R50 Quantum groups and related algebraic methods (See also 16W35, 17B37)
Issue 46 (21 November 2003)
Received 19 August 2003
Published 5 November 2003
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