On eigenvalues and virtual levels of a two-particle Hamiltonian on a d-dimensional lattice
M. I. MuminovSamarkand State University, Samarkand, UzbekistanA.M. KhurramovSamarkand State University, Samarkand, UzbekistanI. N. BozorovSamarkand State University, Samarkand, Uzbekistan
ABI
Annotatsiya
The two-particle Schr dinger operator h (k), k T d (where > 0, T d is a d-dimensional torus), associated to the Hamiltonian h of the system of two quantum particles moving on a d-dimensional lattice, is considered as a perturbation of free Hamiltonian h 0 (k) by the certain 3 d rank potential operator v. The existence conditions of eigenvalues and virtual levels of h (k), are investigated in detail with respect to the particle interaction and total quasi-momentum k T d .
Mavzular
Identifikatorlar
Iqtiboslar va manbalar
Koʻrsatkichlar — AkademScholar · Tez orada