Localization for random Schrödinger operators on \(L^ 2 (\mathbb{R}^ d)\): a semiclassical model

DOI10.5802/aif.1456zbMath0817.35088OpenAlexW2070078559MaRDI QIDQ1842216

Frédéric Klopp

Publication date: 18 April 1995

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1995__45_1_265_0

zbMATH Keywords

random perturbationsAnderson localization theoremdiscrete Anderson modelsinfinite random matrix

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Random matrices (algebraic aspects) (15B52) PDEs with randomness, stochastic partial differential equations (35R60) Random linear operators (47B80)

Related Items (5)

Quantum Hamiltonians with weak random abstract perturbation. I: Initial length scale estimate ⋮ Tight-binding reduction and topological equivalence in strong magnetic fields ⋮ Localization for random operators with non-monotone potentials with exponentially decaying correlations ⋮ Localization on quantum graphs with random vertex couplings ⋮ On localization in the continuous Anderson-Bernoulli model in higher dimension

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