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arXiv · 2001.10239

Generalized Uncertainty principle and momentum-dependent effective mass Sch\"{r}odinger equation

Bijan Bagchi·Rahul Ghosh·Partha Goswami
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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 Sch\"{r}odinger equation embodying momentum-dependent mass. Some simple consequences are pointed out.

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Bijan Bagchi, Rahul Ghosh, Partha Goswami. 2020-01-28. Generalized Uncertainty principle and momentum-dependent effective mass Sch\"{r}odinger equation. https://doi.org/10.1088/1742-6596/1540/1/012004

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