Geodesic
Faddeev eigenfunctions for two-dimensional Schr\"odinger operators via the~Moutard transformation
Teoretičeskaâ i matematičeskaâ fizika, Tome 176 (2013) no. 3, pp. 408-416

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We demonstrate how the Moutard transformation of two-dimensional Schrödinger operators acts on the Faddeev eigenfunctions on the zero-energy level and present some explicitly computed examples of such eigenfunctions for smooth rapidly decaying potentials of operators with a nontrivial kernel and for deformed potentials corresponding to blowup solutions of the Novikov–Veselov equation.
Keywords: Schrödinger operator, Faddeev eigenfunction, scattering data.
Mots-clés : Moutard transformation 
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     author = {I. A. Taimanov and S. P. Tsarev},
     title = {Faddeev eigenfunctions for two-dimensional {Schr\"odinger} operators via {the~Moutard} transformation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {408--416},
     publisher = {mathdoc},
     volume = {176},
     number = {3},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2013_176_3_a5/}
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I. A. Taimanov; S. P. Tsarev. Faddeev eigenfunctions for two-dimensional Schr\"odinger operators via the~Moutard transformation. Teoretičeskaâ i matematičeskaâ fizika, Tome 176 (2013) no. 3, pp. 408-416. http://geodesic.mathdoc.fr/item/TMF_2013_176_3_a5/