Group classification of Schrodinger equations with variable mass

Group classification of planar Schr\"odinger equations with position dependent mass is carried out. These equations are defined upto two arbitrary functions which represent a mass and potential. Twenty one class of such equations with different symmetries have been classified.These classes...

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Bibliographic Details
Date:2015
Main Authors: Zasadko, T., Засадко, Т.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2015
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/173
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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