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The nonlocal Darboux transformation of the 2D stationary Schrödinger equation and its relation to the Moutard transformation

Published 23 Mar 2013 in math-ph, math.MP, and quant-ph | (1303.5858v3)

Abstract: The nonlocal Darboux transformation of the two - dimensional stationary Schr\"odinger equation is considered and its relation to the Moutard transformation is established. It is shown that a special case of the nonlocal Darboux transformation provides the Moutard transformation. New examples of solvable two - dimensional stationary Schr\"odinger operators with smooth potentials are obtained as an application of the nonlocal Darboux transformation.

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Authors (1)

  1. Andrey Kudryavtsev 

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