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arxiv: 1307.5084 · v1 · pith:ZQEJZ55Znew · submitted 2013-07-18 · 🧮 math-ph · math.MP

The Moutard transformation and two-dimensional multi-point delta-type potentials

classification 🧮 math-ph math.MP
keywords potentialsdelta-typemoutardmulti-pointtransformationtwo-dimensionaldatadeformations
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In the framework of the Moutard transformation formalism we find multi-point delta-type potentials of two-dimensional Schrodinger operators and their isospectral deformations on the zero energy level. In particular, these potentials are "reflectionless" in the sense of the Faddeev generalized "scattering" data.

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