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

• URL: http://arxiv.org/abs/2001.10239v1
• Date: Tue, 28 Jan 2020 10:07:41 GMT
• Title: Generalized Uncertainty principle and momentum-dependent effective mass Sch\"{r}odinger equation
• Authors: Bijan Bagchi, Rahul Ghosh, Partha Goswami
• Abstract summary: We show that the basic representations of position and momentum in a quantum mechanical system can be interpreted in terms of an extended Sch"rodinger equation embodying momentum-dependent mass.
• Score: 0.3437656066916039
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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