Lifschitz tail in a magnetic field: The nonclassical regime

DOI10.1007/s004400050193zbMath0921.60099OpenAlexW2147167391MaRDI QIDQ1272365

László Erdős

Publication date: 23 September 1999

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s004400050193

zbMATH Keywords

magnetic Schrödinger operatorenlargement of obstacles methodexact low energy asymptoticsmagnetic localization techniques

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)

Related Items (15)

CONTINUITY PROPERTIES OF SCHRÖDINGER SEMIGROUPS WITH MAGNETIC FIELDS ⋮ Estimates for the lowest eigenvalue of magnetic Laplacians ⋮ Internal Lifshits tails for random magnetic Schrödinger operators ⋮ Stochastic analysis and random Schrödinger operators ⋮ Asymptotics of negative exponential moments for annealed Brownian motion in a renormalized Poisson potential ⋮ Surface Lifshits tails for random quantum Hamiltonians ⋮ Lifshitz tails in constant magnetic fields ⋮ On the semi-classical analysis of the ground state energy of the Dirichlet Pauli operator ⋮ Lifshits tails for random smooth magnetic vortices ⋮ Lifshits tails caused by anisotropic decay: the emergence of a quantum-classical regime ⋮ Upper bounds on the density of states of single Landau levels broadened by Gaussian random potentials ⋮ On completeness of random exponentials in the Bargmann–Fock space ⋮ Magnetic bottles in connection with superconductivity ⋮ EXISTENCE AND UNIQUENESS OF THE INTEGRATED DENSITY OF STATES FOR SCHRÖDINGER OPERATORS WITH MAGNETIC FIELDS AND UNBOUNDED RANDOM POTENTIALS ⋮ On Bose-Einstein condensation in one-dimensional noninteracting Bose gases in the presence of soft Poisson obstacles

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