11-16 July 2022
Europe/Moscow timezone
For authors of online talks: we will send videoconference links 1 day before the session to e-mail addresses specified in the Registration form

BOSE-HUBBARD MODELS WITH ON-SITE AND NEAREST-NEIGHBOR INTERACTIONS: EXACTLY SOLVABLE CASE

15 Jul 2022, 12:10
20m
Физический ф-т, ЦФА

Физический ф-т, ЦФА

Oral talk (15 min + 5 min questions) Nuclear structure: theory and experiment

Speaker

Saidakhmat Lakaev

Description

We study the discrete spectrum of the two-particle Schrodinger operator depending on the quasi-momentum associated to the Bose-Hubbard Hamiltonian of a system of two identical bosons interacting on one site and nearest-neighbor sites in the two-dimensional lattice with arbitrary interaction magnitudes. We completely describe the spectrum of Schrodinger operator with zero quasi-momentum and establish the optimal lower bound for the number of eigenvalues of Schrodinger operator outside its essential spectrum for all non-zero values of quasi-momentum.

The speaker is a student or young scientist No
Section 1. Nuclear structure: theory and experiment

Primary author

Saidakhmat Lakaev

Presentation Materials