Two-dimensional von Neumann--Wigner potentials with a multiple positive eigenvalue

Published 19 Jul 2013 in math-ph and math.MP | (1307.5141v1)

Abstract: By the Moutard transformation method we construct two-dimensional Schrodinger operators with real smooth potential decaying at infinity and with a multiple positive eigenvalue. These potentials are rational functions of spatial variables and their sines and cosines.

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