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math-ph2013
Two-dimensional von Neumann--Wigner potentials with a multiple positive eigenvalue
R. G. Novikov, I. A. Taimanov, S. P. Tsarev
By the Moutard transformation method we construct two-dimensional Schrodinger operators with real smooth potential decaying at infinity and with a multiple positive eigenvalue. The…
math-ph2008★ 34 cited
Two-dimensional rational solitons and their blow-up via the Moutard transformation
I. A. Taimanov, S. P. Tsarev
By using the Moutard transformation of two-dimensional Schroedinger operators we derive a procedure for constructing explicit examples of such operators with rational fast decaying…