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arXiv · 1910.07412

Exact solvability of PDM systems with extended Lie symmetries

A. G. Nikitin
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Abstract

It is shown that all PDM Schroedinger equations admitting more than five dimensional Lie symmetry algebras (whose completed list can be found in paper~[{\it J.~Math. Phys.} {\bf 58}, , 083508 (2017)] are exactly solvable. The corresponding exact solutions are presented. The supersymmetric aspects of the exactly solvable systems are discussed.

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A. G. Nikitin. 2019-10-16. Exact solvability of PDM systems with extended Lie symmetries. https://arxiv.org/abs/1910.07412

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