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
Nashr sanasi2021-02-11
Jild1
Son125/1
Betlar1-11
Tilen
DOI10.59251/2181-1296.v1.1251.645

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