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

I.A. Taimanov; R.G. Novikov; S.P. Tsarev

arxiv: 1307.5141 · v1 · pith:H6Y5IDB5new · submitted 2013-07-19 · 🧮 math-ph · math.MP

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

R.G. Novikov , I.A. Taimanov , S.P. Tsarev This is my paper

classification 🧮 math-ph math.MP

keywords eigenvaluemultiplepositivepotentialstwo-dimensionalconstructcosinesdecaying

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

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