A Rellich Type Theorem for Discrete Schrödinger Operators

2012/08/22 by Isozaki, Hiroshi, Morioka, Hisashi · 3 citations
#47A40 #81U40 #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1208.4428

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 Schrödinger operators.

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• Ballistic Transport for Discrete Multi-Dimensional Schrödinger Operators With Decaying Potential

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