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arXiv · 1406.2006

Superintegrable systems with position dependent mass

A. G. Nikitin·T. M. Zasadko
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Abstract

First order integrals of motion for Schrödinger equations with position dependent masses are classified. Seventeen classes of such equations with non-equivalent symmetries are specified. They include integrable, superintegrable and maximally superintegrable systems. Among them is a system invariant with respect to the Lie algebra of Lorentz group and a system whose integrals of motion form algebra so(4). Three of the obtained systems are solved exactly.

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A. G. Nikitin, T. M. Zasadko. 2020-07-15. Superintegrable systems with position dependent mass. https://doi.org/10.1063/1.4908107

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