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The Spectrum of Discrete Schrödinger Operator on a Three Dimensional Triangular Lattice with a Finite-range Potential

  • M. I. Muminov,
  • J. A. Pardaev

摘要

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.