Generalized Uncertainty principle and momentum-dependent effective mass Schrodinger equation

preprint2020arXivOpen access

Abstract

We show in this paper that the basic representations of position and momentum in a quantum mechanical system, that are guided by a generalized uncertainty principle and lead to a corresponding one-parameter eigenvalue problem, can be interpreted in terms of an extended Schrodinger equation embodying momentum-dependent mass. Some simple consequences are pointed out.

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