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arXiv · 1303.5858

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

Andrey Kudryavtsev
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Abstract

The nonlocal Darboux transformation of the two - dimensional stationary Schrödinger 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 Schrödinger operators with smooth potentials are obtained as an application of the nonlocal Darboux transformation.

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Andrey Kudryavtsev. 2014-03-16. The nonlocal Darboux transformation of the 2D stationary Schrödinger equation and its relation to the Moutard transformation. https://arxiv.org/abs/1303.5858

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