Lie algebraic approach to singular oscillator with a position-dependent massB. Roy
Physics & Applied Mathematics Unit, Indian Statistical Institute Calcutta 700035, India
received 6 June 2005; accepted in final form 1 August 2005
published online 31 August 2005
We construct a singular-oscillator Hamiltonian with a position-dependent effective mass. It is shown that this quantum system admits a su(1,1) symmetry, and using this symmetry complete solution of the problem is obtained.
03.65.-w - Quantum mechanics.
03.65.Fd - Algebraic methods.
02.20.Sv - Lie algebras of Lie groups.
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