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arXiv · 1408.2076

Spectral Properties of Schr\"odinger Operators on Perturbed Lattices

Kazunori Ando·Hiroshi Isozaki·Hisashi Morioka
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Abstract

We study the spectral properties of Schr\"{o}dinger operators on perturbed lattices. We shall prove the non-existence or the discreteness of embedded eigenvalues, the limiting absorption principle for the resolvent, construct a spectral representation, and define the S-matrix. Our theory covers the square, triangular, diamond, Kagome lattices, as well as the ladder, the graphite and the subdivision of square lattice.

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BibTeXRIS

Kazunori Ando, Hiroshi Isozaki, Hisashi Morioka. 2014-08-09. Spectral Properties of Schr\"odinger Operators on Perturbed Lattices. https://doi.org/10.1007/s00023-015-0430-0

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