Exact solvability of PDM systems with extended Lie symmetries

It is shown that all PDM Schrodinger equations admitting more than five-dimensional Lie symmetry algebras (whose completed list can be found in paper [J.~Math. Phys. 58  (2017), 083508, 16 pp.] are exactly solvable. The corresponding exact solutions are presented. The supersymmetric asp...

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Bibliographic Details
Date:2019
Main Authors: Nikitin, A., Нікітін, А.
Format: Article
Language:English
Published: Інститут математики НАН України 2019
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/361
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine