Geodesic
Nonlocal Darboux transformation of the two-dimensional stationary
Teoretičeskaâ i matematičeskaâ fizika, Tome 187 (2016) no. 1, pp. 12-20 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Mots-clés : Darboux transformation, nonlocal variable
Keywords: Schrödinger equation. 
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A. G. Kudryavtsev. Nonlocal Darboux transformation of the two-dimensional stationary. Teoretičeskaâ i matematičeskaâ fizika, Tome 187 (2016) no. 1, pp. 12-20. http://geodesic.mathdoc.fr/item/TMF_2016_187_1_a1/

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