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

S h S Laqaev, F. A. Madatova

Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi · 2022-yil

Annotatsiya

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 .

Maqola ma’lumotlari
MualliflarS h S Laqaev, F. A. Madatova
JurnalSamarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi
Nashr sanasi2022-02-02
Jild1
Son131/1
Betlar1-11
Tilen
DOI10.59251/2181-1296.v1.1311.54

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