Article

Bound states of a system of two bosons with a spherically potential on a lattice

J. I. AbdullaevNavoi state pedagogical institute, Street Ibn Sino 45, Navoi 210100, UzbekistanSh. H. ErgashovaNavoi state pedagogical institute, Street Ibn Sino 45, Navoi 210100, UzbekistanYu. S. ShotemirovNavoi state pedagogical institute, Street Ibn Sino 45, Navoi 210100, Uzbekistan

Journal of Physics Conference Seriesjournal2021en

ABI

Abstract

Abstract We consider a Hamiltonian of a system of two bosons on a three-dimensional lattice Z 3 with a spherically simmetric potential. The corresponding Schrödinger operator H ( k ) this system has four invariant subspaces L(123), L(1), L(2) and L(3). The Hamiltonian of this system has a unique bound state over each invariant subspace L(1), L(2) and L(3). The corresponding energy values of these bound states are calculated exactly.

Topics

Spectral Theory in Mathematical Physics Quantum Mechanics and Non-Hermitian Physics Quantum chaos and dynamical systems

Identifiers

DOI: 10.1088/1742-6596/2070/1/012023

Citations and references

Cited by 1 10 references

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