Diffusion in the mean for an ergodic Schrödinger equation perturbed by a fluctuating potential

DOI10.1007/S00220-015-2432-7zbMath1335.82014arXiv1406.4932OpenAlexW1584100683MaRDI QIDQ496191

Jeffrey H. Schenker

Publication date: 21 September 2015

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.4932

zbMATH Keywords

Markov semigrouprecurrencecentral limit theoremrandom potentialAnderson localizationMarkov dynamicsaugmented space analysisconditioning on Markov semigroupsdiffusive propagation of wave packetsdiffusive scalingsingle time position marginalstwisted shifts on product spaces

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Diffusion processes (60J60) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (3)

Diffusion in the mean for a periodic Schrödinger equation perturbed by a fluctuating potential ⋮ Quantum Brownian motion induced by thermal noise in the presence of disorder ⋮ Matrix representations of multidimensional integral and ergodic operators

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