Author: Xurramov, Yodgor Safarali o‘g‘li

Annotation: In this study, one particle interaction energy of one particle discrete Schrödinger operator corresponding to a quantum particle gamiltonian describing the motion of a quantum particle in contact with an external field effect in a one-dimensional grid depends on left or right proved to have a eigenvalue. This eigenvalue , a clear view of was found. The monotonic and continuous dependence of the interaction parameter on is shown, and approximate distributions are obtained for these eigenvalues at sufficiently small modulus .

Keywords: lattince, operator, eigenvalue, spectrum, essential spectrum.