We use Lie algebraic techniques to obtain exact solutions of the effective mass Schrödinger equation. In particular we use the su (1,1) algebra, both as a spectrum generating algebra and as a potential algebra, to obtain exact solutions of effective mass Schrödinger equations corresponding to a number of potentials. We also discuss the construction of isospectral Hamiltonians for which both the mass and the potential are different.
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Roy et al. (2002) studied this question.
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