A Rellich Type Theorem for Discrete Schr{ö}dinger Operators

Abstract

An analogue of Rellich's theorem is proved for discrete Laplacian on square lattice, and applied to show unique continuation property on certain domains as well as non-existence of embedded eigenvalues for discrete Schr{ö}dinger operators.

16 pages

References in corpus (1)

• On absence of embedded eigenvalues for Schrödinger operators with perturbed periodic potentials

Cited by in corpus (1)

• Rellich Type Theorems for Unbounded Domains