Random Operators Disorder Effects on Quantum Spectra and Dynamics

In a graduate mathematical physics textbook, Aizenman and Warzel combine elements of analysis and probability, and accompany the mathematical discussion with relevant perspectives of physics. Among their topics are general relations between spectra and dynamics, the relation of Green functions to eigenfunctions, dynamical localizations and fractional moment criteria, localization at high disorder and at extreme energies, the diffusion hypothesis and the Green-Kubo-Streda formula, and the eigenvalue point process and a conjectured dichotomy. Annotation ©2016 Ringgold, Inc., Portland, OR (protoview.com)