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A general scheme for the effective-mass schrödinger equation and the generation of the associated potentials
B BAGCHI, P GORAIN, C QUESNE, R ROYCHOUDHURY
Published in -
2004
Volume: 19
   
Issue: 37
Pages: 2765 - 2775
Abstract
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.
About the journal
JournalModern Physics Letters A
Publisher-
ISSN0217-7323
Open AccessYes