Simple examples of Lifschitz tails in Gaussian random magnetic fields

DOI10.1007/s000230050004zbMath1015.82014OpenAlexW1983289924MaRDI QIDQ1588822

Naomasa Ueki

Publication date: 4 December 2000

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000230050004

zbMATH Keywords

Schrödinger operatorintegrated density of statesspectrumGaussian randon field

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (12)

Internal Lifshits tails for random magnetic Schrödinger operators ⋮ Quantum Hamiltonians with weak random abstract perturbation. I: Initial length scale estimate ⋮ Wegner estimates, Lifshitz tails, and Anderson localization for Gaussian random magnetic fields ⋮ Stochastic analysis and random Schrödinger operators ⋮ Quantum Hamiltonians with weak random abstract perturbation. II: Localization in the expanded spectrum ⋮ Low lying spectrum of weak-disorder quantum waveguides ⋮ Low lying eigenvalues of randomly curved quantum waveguides ⋮ A remark on the Dirichlet-Neumann decoupling and the integrated density of states ⋮ Schrödinger operators with random \(\delta \) magnetic fields ⋮ Wegner estimate for Gaussian random magnetic fields ⋮ Discrete Schrödinger Operators with Random Alloy-type Potential ⋮ A remark on the Lifshitz tail for Schrödinger operator with random magnetic field

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