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Effective-mass Schroedinger equation and generation of solvable potentials

B. Bagchi, P. Gorain, C. Quesne, R. Roychoudhury

quant-pharXiv:quant-ph/0407101

Abstract

A one-dimensional Schrödinger equation with position-dependent effective mass in the kinetic energy operator is studied in the framework of an so(2,1) algebra. New mass-deformed versions of Scarf II, Morse and generalized Pöschl-Teller potentials are obtained. Consistency with an intertwining condition is pointed out.

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