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Exact solvability of potentials with spatially dependent effective masses

A. de Souza Dutra·C. A. S. Almeida
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Abstract

We discuss the relationship between exact solvability of the Schroedinger equation, due to a spatially dependent mass, and the ordering ambiguity. Some examples show that, even in this case, one can find exact solutions. Furthermore, it is demonstrated that operators with linear dependence on the momentum are nonambiguous.

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A. de Souza Dutra, C. A. S. Almeida. 2003-06-10. Exact solvability of potentials with spatially dependent effective masses. https://doi.org/10.1016/s0375-9601(00)00533-8

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