The exictence of eigenvalues and the essential spectrum of the two-particle discrete schrödinger operator on lattices

S N Lakaev, S h I Hamidov, S A b d u v a y i t o

Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi · 2022-yil

Annotatsiya

We study a two-particle discrete Schrödinger operator associated with a system of three particles moving on the three-dimensional cubic lattice depending on the interaction magnitude and particles mass ratio . We establish the essential spectrum of the two-particle discrete Schrödinger operator and prove the existence of eigenvalues located below the bottom of the essential spectrum of two-particle discrete Schrödinger operator for all , under the assumption that the bottom of the essential spectrum is a resonance (virtual level) of operator

Maqola ma’lumotlari
MualliflarS N Lakaev, S h I Hamidov, S A b d u v a y i t o
JurnalSamarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi
NashriyotСамарқанд давлат университети
ISSN2091-5446, 2181-1296
Nashr sanasi2022-06-25
Jild5
Son135/1
Betlar1-11
TilIngliz
Ilmiy sohaKimyo
DOI10.59251/2181-1296.v5.1351.1114
Indeksga qo‘shilgan2026-09-02

DOI: 10.59251/2181-1296.v5.1351.1114 · Maqolaning asl sahifasi · PDF

Ilmiy soha

Kimyo

Iqtibos keltirish

APAS N Lakaev, S h I Hamidov, & S A b d u v a y i t o (2022). THE EXICTENCE OF EIGENVALUES AND THE ESSENTIAL SPECTRUM OF THE TWO-PARTICLE DISCRETE SCHRÖDINGER OPERATOR ON LATTICES. Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 5(135/1), 1-11. https://doi.org/10.59251/2181-1296.v5.1351.1114
GOST (OAK)S N Lakaev, S h I Hamidov, S A b d u v a y i t o THE EXICTENCE OF EIGENVALUES AND THE ESSENTIAL SPECTRUM OF THE TWO-PARTICLE DISCRETE SCHRÖDINGER OPERATOR ON LATTICES // Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi. – 2022. – T. 5, № 135/1. – P. 1-11. – DOI: 10.59251/2181-1296.v5.1351.1114.
MLAS N Lakaev, S h I Hamidov, and S A b d u v a y i t o. “THE EXICTENCE OF EIGENVALUES AND THE ESSENTIAL SPECTRUM OF THE TWO-PARTICLE DISCRETE SCHRÖDINGER OPERATOR ON LATTICES.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 5(135/1), 1-11, 2022. https://doi.org/10.59251/2181-1296.v5.1351.1114
ChicagoS N Lakaev, S h I Hamidov, and S A b d u v a y i t o. “THE EXICTENCE OF EIGENVALUES AND THE ESSENTIAL SPECTRUM OF THE TWO-PARTICLE DISCRETE SCHRÖDINGER OPERATOR ON LATTICES.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 5(135/1), 1-11 (2022). https://doi.org/10.59251/2181-1296.v5.1351.1114
HarvardS N Lakaev, S h I Hamidov, and S A b d u v a y i t o (2022) ‘THE EXICTENCE OF EIGENVALUES AND THE ESSENTIAL SPECTRUM OF THE TWO-PARTICLE DISCRETE SCHRÖDINGER OPERATOR ON LATTICES’, Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 5(135/1), 1-11. https://doi.org/10.59251/2181-1296.v5.1351.1114
BibTeX
@article{snlakaev2022,
  title = {THE EXICTENCE OF EIGENVALUES AND THE ESSENTIAL SPECTRUM OF THE TWO-PARTICLE DISCRETE SCHRÖDINGER OPERATOR ON LATTICES},
  author = {S N Lakaev and S h I Hamidov and S A b d u v a y i t o},
  journal = {Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi},
  year = {2022},
  volume = {5},
  number = {135/1},
  pages = {1-11},
  doi = {10.59251/2181-1296.v5.1351.1114},
  url = {https://doi.org/10.59251/2181-1296.v5.1351.1114}
}

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