Open AccessBound states of a system of two bosons with a spherically potential on a lattice
Author(s) -
J. I. Abdullaev,
Sh.H. Ergashova,
Y.S. Shotemirov
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2070/1/012023
Subject(s) - boson , linear subspace , hamiltonian (control theory) , bound state , physics , lattice (music) , subspace topology , mathematical physics , invariant (physics) , upper and lower bounds , quantum mechanics , invariant subspace , hilbert space , combinatorics , mathematics , pure mathematics , mathematical analysis , mathematical optimization , acoustics
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.