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Symmetries and Supersymmetries of Generalized Schrödinger equations

2020/02/15 by A. G. Nikitin, Nikitin, A. G.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #math-ph #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.2002.06438

arxiv created 2020/02/15 · arxiv updated 2020/02/18

Abstract

In this survey the contemporary results concerning supersymmetries in generalized Schrödinger equations are presented. Namely, position dependent mass Schödinger equations are discussed as well as the equations with matrix potentials. An extended number of realistic quantum mechanical problems admitting extended supersymmetries is described, an extended class of matrix potentials is classified.

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