The Spectrum of Discrete Schrödinger Operator on a Three Dimensional Triangular Lattice with a Finite-range Potential
M. I. MuminovSamarkand Branch of the Romanovsky Institute of Mathematics of the Academy of Sciences of the Republic of Uzbekistan, 140104, Samarkand, UzbekistanJ. A. PardaevBukhara State University, 200100, Bukhara, Uzbekistan
ABI
Abstract
We study the discrete Schrödinger operator on a three dimensional triangular lattice, where the potential function equals zero except for the neighborhood points of zero. We give the existence conditions of eigenvalues for the considered Schrödinger operator.
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