Separation of Coupled Systems of Schrodinger Equations by Darboux transformations

Details Separation of Coupled Systems of Schrodinger Equations by Darboux transformations Separation of Coupled Systems of Schrodinger Equations by Darboux transformations

2011-03-09

arxiv.org/abs/1103.1894v1

Physics

Mathematical Physics

14 pages

Scientific paper

Darboux transformations in one independent variable have found numerous applications in various field of mathematics and physics. In this paper we show that the extension of these transformations to two dimensions can be used to decouple systems of Schrodinger equations and provide explicit representation for three classes of such systems. We show also that there is an elegant relationship between these transformations and analytic complex matrix functions.

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