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2003 J. Phys. A: Math. Gen. 36 11631-11641 doi: 10.1088/0305-4470/36/46/007
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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 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.
PACS numbers: 02.20.Uw, 03.65.Fd, 03.65.Ge
Print publication: Issue 46 (21 November 2003) |
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