Email this article Nonlocal Darboux transformation of the two-dimensional stationary Schrödinger equation and its relation to the Moutard transformation
- Authors: Kudryavtsev A.G.1
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Affiliations:
- Institute of Applied Mechanics
- Issue: Vol 187, No 1 (2016)
- Pages: 455-462
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/170505
- DOI: https://doi.org/10.1134/S0040577916040024
- ID: 170505
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Abstract
We consider a nonlocal Darboux transformation of the two-dimensional stationary Schrödinger equation and establish its relation to the Moutard transformation. We show that the Moutard transformation is a special case of the nonlocal Darboux transformation and obtain new examples of solvable two-dimensional stationary Schrödinger operators with smooth potentials as an application of the nonlocal Darboux transformation.
About the authors
A. G. Kudryavtsev
Institute of Applied Mechanics
Author for correspondence.
Email: kudryavtsev_a_g@mail.ru
Russian Federation, Moscow
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