Deterministic spectral properties of Anderson-type Hamiltonians

Details Deterministic spectral properties of Anderson-type Hamiltonians Deterministic spectral properties of Anderson-type Hamiltonians

2010-09-07

arxiv.org/abs/1009.1353v2

Mathematics

Functional Analysis

11 pages

Scientific paper

This paper concerns the deterministic spectral properties of Anderson-type
Hamiltonians. The main result states that under mild conditions the essential
parts of two realizations are almost surely unitary equivalent modulo a rank
one perturbation. Its proof is based on the techniques and results developed by
A.G. Poltoratski in previous work.

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