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ASYMPTOTICS FOR THE EIGENVALUE OF THE ONE-PARTICLE DISCRETE SCHRÖDINGER OPERATOR ON THE TWO-DIMENSIONAL LATTICE

Sh.S.Laqaev, F.A. Madatova


We investigate the one-particle discrete Schrödinger operator ̂ on the
two-dimensional lattice with extended discrete Laplacian and the Kronecker‘s delta function
concentrated on . We show that the operator ̂ has a unique eigenvalue and we find the
asymptotics for this eigenvalue as .



https://doi.org/10.59251/2181-1296.v1.1311.54

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