SU(1,1) Coherent States For Position-Dependent Mass Singular Oscillators

Details SU(1,1) Coherent States For Position-Dependent Mass Singular Oscillators SU(1,1) Coherent States For Position-Dependent Mass Singular Oscillators

2009-02-23

arxiv.org/abs/0902.3976v2

Int.J.Theor.Phys.50:2201-2210,2011

Physics

Mathematical Physics

11 pages, 5 figures. This shortened version (includes new references) has been adapted for its publication in International Jo

Scientific paper

10.1007/s10773-011-0728-8

The Schroedinger equation for position-dependent mass singular oscillators is solved by means of the factorization method and point transformations. These systems share their spectrum with the conventional singular oscillator. Ladder operators are constructed to close the su(1,1) Lie algebra and the involved point transformations are shown to preserve the structure of the Barut-Girardello and Perelomov coherent states.

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