The spectrum of Schrödinger operators with Poisson type random potential

DOI10.1007/s00023-005-0245-5zbMath1091.81014OpenAlexW2086610283MaRDI QIDQ818912

Kazunori Ando, Akira Iwatsuka, Fumihiko Nakano, Masahiro Kaminaga

Publication date: 22 March 2006

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

Full work available at URL: https://doi.org/10.1007/s00023-005-0245-5

zbMATH Keywords

Schrödinger equationRandom potential

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Ordinary differential equations and systems with randomness (34F05)

Related Items (8)

Upper bound for the Bethe-Sommerfeld threshold and the spectrum of the Poisson random Hamiltonian in two dimensions ⋮ Asymptotic behaviors of the integrated density of states for random Schrödinger operators associated with Gibbs point processes ⋮ Wegner estimate for a nonsign definite generalized alloy type potential ⋮ Schrödinger operators with random \(\delta \) magnetic fields ⋮ A self-adjointness criterion for the Schrödinger operator with infinitely many point interactions and its application to random operators ⋮ Minimizing the ground state energy of an electron in a randomly deformed lattice ⋮ The spectrum of Schrödinger operators with random \(\delta \) magnetic fields ⋮ ASYMPTOTIC BEHAVIOR OF THE INTEGRATED DENSITY OF STATES FOR RANDOM POINT FIELDS ASSOCIATED WITH CERTAIN FREDHOLM DETERMINANTS

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