The discrete spectrum of two particle hamiltonian on two-dimensional lattice

A M Khurramov

Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi · 2021-yil

Annotatsiya

We consider a system of two arbitrary quantum particles on a two-dimensional lattice with special dispersion functions (describing site-to-site particle transport), where the particles interact by a chosen attraction potential. We study how the number of eigenvalues of operator family ℎ(?) depends on the particle interaction energy and the total quasi-momentum ? ∈ ? 2 (where ? 2 is a two-dimensional torus). Subject to the particle inter-action energy, we obtain conditions for existence of multiple eigenvalues below the essential spectrum of operator ℎ(?).

Maqola ma’lumotlari
MualliflarA M Khurramov
JurnalSamarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi
NashriyotСамарқанд давлат университети
ISSN2091-5446, 2181-1296
Nashr sanasi2021-02-11
Jild1
Son125/1
Betlar1-11
TilIngliz
Ilmiy sohaKimyo
DOI10.59251/2181-1296.v1.1251.645
Indeksga qo‘shilgan2026-09-02

DOI: 10.59251/2181-1296.v1.1251.645 · Maqolaning asl sahifasi · PDF

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Kimyo

Iqtibos keltirish

APAA M Khurramov (2021). THE DISCRETE SPECTRUM OF TWO PARTICLE HAMILTONIAN ON TWO-DIMENSIONAL LATTICE. Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(125/1), 1-11. https://doi.org/10.59251/2181-1296.v1.1251.645
GOST (OAK)A M Khurramov THE DISCRETE SPECTRUM OF TWO PARTICLE HAMILTONIAN ON TWO-DIMENSIONAL LATTICE // Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi. – 2021. – T. 1, № 125/1. – P. 1-11. – DOI: 10.59251/2181-1296.v1.1251.645.
MLAA M Khurramov. “THE DISCRETE SPECTRUM OF TWO PARTICLE HAMILTONIAN ON TWO-DIMENSIONAL LATTICE.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(125/1), 1-11, 2021. https://doi.org/10.59251/2181-1296.v1.1251.645
ChicagoA M Khurramov. “THE DISCRETE SPECTRUM OF TWO PARTICLE HAMILTONIAN ON TWO-DIMENSIONAL LATTICE.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(125/1), 1-11 (2021). https://doi.org/10.59251/2181-1296.v1.1251.645
HarvardA M Khurramov (2021) ‘THE DISCRETE SPECTRUM OF TWO PARTICLE HAMILTONIAN ON TWO-DIMENSIONAL LATTICE’, Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(125/1), 1-11. https://doi.org/10.59251/2181-1296.v1.1251.645
BibTeX
@article{amkhurramov2021,
  title = {THE DISCRETE SPECTRUM OF TWO PARTICLE HAMILTONIAN ON TWO-DIMENSIONAL LATTICE},
  author = {A M Khurramov},
  journal = {Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi},
  year = {2021},
  volume = {1},
  number = {125/1},
  pages = {1-11},
  doi = {10.59251/2181-1296.v1.1251.645},
  url = {https://doi.org/10.59251/2181-1296.v1.1251.645}
}

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