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International Workshop «Geometric Structures in Integrable Systems»
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Faddeev eigenfunctions for two-dimensional Schrodinger operators via the Moutard transformation S. P. Tsareva, I. A. Taimanovb a Institute of Mathematics, Siberian Federal University, Krasnoyarsk b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk |
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Abstract: We demonstrate how the Moutard transformation of two-dimensional Schrodinger operators acts on the Faddeev eigenfunctions on the zero energy level and present some explicitly computed examples of such eigenfunctions for smooth fast decaying potentials of operators with non-trivial kernel and for deformed potentials which correspond to blowing up solutions of the Novikov–Veselov equation. Language: English |
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