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A general scheme for the effective-mass schrödinger equation and the generation of the associated potentials

par Bagchi, Bijan;Gorain, P.S.;Quesne, Christiane ;Roychoudhury, Rajkumar
Référence Modern physics letters A, 19, 37, page (2765-2775)
Publication Publié, 2004-12

Article révisé par les pairs

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Résumé :

A systematic procedure to study one-dimensional Schrödinger equation with a position-dependent effective mass (PDEM) in the kinetic energy operator is explored. The conventional free-particle problem reveals a new and interesting situation in that, in the presence of a mass background, formation of bound states is signalled. We also discuss coordinate-transformed, constant-mass Schrödinger equation, its matching with the PDEM form and the consequent decoupling of the ambiguity parameters. This provides a unified approach to many exact results known in the literature, as well as to a lot of new ones.