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Paper detail

Superintegrable systems with position dependent mass

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.

preprint2020arXivOpen access
A. G. NikitinT. M. Zasadko
math-phmath.MP
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A. G. NikitinT. M. Zasadko

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