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
NashriyotСамарқанд давлат университети
ISSN2091-5446, 2181-1296
Nashr sanasi2022-02-02
Jild1
Son131/1
Betlar1-11
TilIngliz
DOI10.59251/2181-1296.v1.1311.54
Indeksga qo‘shilgan2026-09-02

DOI: 10.59251/2181-1296.v1.1311.54 · Maqolaning asl sahifasi · PDF

Iqtibos keltirish

APAS h S Laqaev, & F. A. Madatova (2022). ASYMPTOTICS FOR THE EIGENVALUE OF THE ONE-PARTICLE DISCRETE SCHRÖDINGER OPERATOR ON THE TWO-DIMENSIONAL LATTICE. Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(131/1), 1-11. https://doi.org/10.59251/2181-1296.v1.1311.54
GOST (OAK)S h S Laqaev, F. A. Madatova ASYMPTOTICS FOR THE EIGENVALUE OF THE ONE-PARTICLE DISCRETE SCHRÖDINGER OPERATOR ON THE TWO-DIMENSIONAL LATTICE // Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi. – 2022. – T. 1, № 131/1. – P. 1-11. – DOI: 10.59251/2181-1296.v1.1311.54.
MLAS h S Laqaev, and F. A. Madatova. “ASYMPTOTICS FOR THE EIGENVALUE OF THE ONE-PARTICLE DISCRETE SCHRÖDINGER OPERATOR ON THE TWO-DIMENSIONAL LATTICE.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(131/1), 1-11, 2022. https://doi.org/10.59251/2181-1296.v1.1311.54
ChicagoS h S Laqaev, and F. A. Madatova. “ASYMPTOTICS FOR THE EIGENVALUE OF THE ONE-PARTICLE DISCRETE SCHRÖDINGER OPERATOR ON THE TWO-DIMENSIONAL LATTICE.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(131/1), 1-11 (2022). https://doi.org/10.59251/2181-1296.v1.1311.54
HarvardS h S Laqaev, and F. A. Madatova (2022) ‘ASYMPTOTICS FOR THE EIGENVALUE OF THE ONE-PARTICLE DISCRETE SCHRÖDINGER OPERATOR ON THE TWO-DIMENSIONAL LATTICE’, Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(131/1), 1-11. https://doi.org/10.59251/2181-1296.v1.1311.54
BibTeX
@article{shslaqaev2022,
  title = {ASYMPTOTICS FOR THE EIGENVALUE OF THE ONE-PARTICLE DISCRETE SCHRÖDINGER OPERATOR ON THE TWO-DIMENSIONAL LATTICE},
  author = {S h S Laqaev and F. A. Madatova},
  journal = {Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi},
  year = {2022},
  volume = {1},
  number = {131/1},
  pages = {1-11},
  doi = {10.59251/2181-1296.v1.1311.54},
  url = {https://doi.org/10.59251/2181-1296.v1.1311.54}
}

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