%AVon Dreifus, H [Princeton Univ., NJ (USA). Dept. of Physics]
%AKlein, A [California Univ., Irvine (USA). Dept. of Mathematics]
%D1991
%I;
%JCommunications in Mathematical Physics; (Germany, F.R.)
%K71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS, SCHROEDINGER EQUATION, RANDOMNESS, CORRELATION FUNCTIONS, CORRELATIONS, GAUSSIAN PROCESSES, HAMILTONIANS, INTERACTION RANGE, LOCALITY, POTENTIALS, PROBABILITY, STOCHASTIC PROCESSES, DIFFERENTIAL EQUATIONS, DISTANCE, EQUATIONS, FUNCTIONS, MATHEMATICAL OPERATORS, PARTIAL DIFFERENTIAL EQUATIONS, QUANTUM OPERATORS, WAVE EQUATIONS, 657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
%PMedium: X; Size: Pages: 133-147
%TLocalization for random Schroedinger operators with correlated potentials
%XWe prove localization at high disorder or low energy for lattice Schroedinger operators with random potentials whose values at different lattice sites are correlated over large distances. The class of admissible random potentials for our multiscale analysis includes potentials with a stationary Gaussian distribution whose covariance function C(x,y) decays as vertical strokex-yvertical stroke{sup -{theta}}, where {theta}>0 can be arbitrarily small, and potentials whose probability distribution is a completely analytical Gibbs measure. The result for Gaussian potentials depends on a multivariable form of Nelson's best possible hypercontractive estimate. (orig.).
%0Journal Article
Germany 10.1007/BF02099294 Journal ID: ISSN 0010-3616; CODEN: CMPHA; Other: CNN: PHY-85-15288; DMS-89-05627 DEN English