Generalized Uncertainty Principle and Momentum-Dependent Effective Mass Schrödinger Equation
Generalized Uncertainty Principle and Momentum-Dependent Effective Mass Schrödinger Equation
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 …