Pure point spectrum under 1-parameter perturbations and instability of Anderson localization

DOI10.1007/BF02101488zbMath0839.47002MaRDI QIDQ1908826

Alexander Ya. Gordon

Publication date: 7 March 1996

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

selfadjoint operatorAnderson localization of 1-dimensional Schrödinger operatorsselfadjoint rank-one projection

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55)

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Cites Work

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• Spectral properties of disordered systems in the one-body approximation
• Anderson localization for the 1-D discrete Schrödinger operator with two-frequency potential
• One-dimensional Schrödinger operator with unbounded potential: The pure point spectrum
• Singular continuous spectrum under rank one perturbations and localization for random hamiltonians

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