Localization of surface spectra

DOI10.1007/s002200050752zbMath0952.60059OpenAlexW1979090356MaRDI QIDQ1969102

Vojkan Jakšić, Stanislav Alekseevich Molchanov

Publication date: 4 January 2001

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

Full work available at URL: https://doi.org/10.1007/s002200050752

zbMATH Keywords

spectral theorydiscrete LaplacianDirichlet Laplacianrandom boundary condition

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05)

Related Items (12)

The density of surface states as the total time delay ⋮ On the spectral and wave propagation properties of the surface Maryland model ⋮ Spectral and dynamical contrast on highly correlated Anderson-type models ⋮ Surface localization in impurity band with arbitrary singular disorder and long-range potentials ⋮ Many-body localization in the droplet spectrum of the random XXZ quantum spin chain ⋮ Wegner estimates for some random operators with Anderson-type surface potentials ⋮ Spectra of Anderson type models with decaying randomness ⋮ Spectral analysis of the generalized surface Maryland model ⋮ The spectra of the surface Maryland model for all phases ⋮ Localization near fluctuation boundaries via fractional moments and applications ⋮ Wegner estimate for sparse and other generalized alloy type potentials ⋮ Anderson localization and Lifshits tails for random surface potentials

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