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
ABI
Аннотация
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.
Ҳали таржима қилинмаган