ON THE LOWER SPECTRUM OF THE TWO-PARTICLE DISCRETE SCHRÖDINGER OPERATOR
Utkir KuljanovFaculty of Mathematics, Samarkand State UniversityZabidin SallehFaculty of Ocean Engineering Technology and Informatics, Universiti Malaysia TerengganuJovlon KuljonovFaculty of Exact and Applied Sciences, Uzbek-Finnish Pedagogical Institute
ABI
Abstract
In this paper, it is established that if the lower edge of the spectrum is an isolated point of the Schrodinger operator of a system of two particles on a lattice, then it is a simple eigenvalue and a strictly positive eigenvector corresponds to it, under certain conditions with respect to the dispersion functions and potential.
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