Potential algebra approach to position-dependent mass Schrödinger equationsT. K. Jana1 and P. Roy2
1 Department of Mathematics, R. S. Mahavidyalaya - Ghatal 721212, India
2 Physics & Applied Mathematics Unit, Indian Statistical Institute - Kolkata 700108, India
received 30 April 2009; accepted in final form 23 July 2009; published August 2009
published online 27 August 2009
It is shown that for a class of position-dependent mass Schrödinger equations the shape invariance condition is equivalent to a potential symmetry algebra. Explicit realization of such algebras has been obtained for some shape-invariant potentials.
03.65.Ca - Formalism.
03.65.Fd - Algebraic methods.
03.65.Ge - Solutions of wave equations: bound states.
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