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Effective-mass Schroedinger equation and generation of solvable potentials

B. Bagchi·P. Gorain·C. Quesne·R. Roychoudhury
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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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B. Bagchi, P. Gorain, C. Quesne, R. Roychoudhury. 2004-07-14. Effective-mass Schroedinger equation and generation of solvable potentials. https://doi.org/10.1023/b%3Acjop.0000044000.89791.d7

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