Cliquer sur une vignette pour aller sur Google Books.
Chargement... Random Operators: Disorder Effects on Quantum Spectra and Dynamics (Graduate Studies in Mathematics)par Michael Aizenman
Aucun Chargement...
Inscrivez-vous à LibraryThing pour découvrir si vous aimerez ce livre Actuellement, il n'y a pas de discussions au sujet de ce livre. Aucune critique aucune critique | ajouter une critique
Appartient à la série éditoriale
This book provides an introduction to the mathematical theory of disorder effects on quantum spectra and dynamics. Topics covered range from the basic theory of spectra and dynamics of self-adjoint operators through Anderson localization--presented here via the fractional moment method, up to recent results on resonant delocalization. The subject's multifaceted presentation is organized into seventeen chapters, each focused on either a specific mathematical topic or on a demonstration of the theory's relevance to physics, e.g., its implications for the quantum Hall effect. The mathematical chapters include general relations of quantum spectra and dynamics, ergodicity and its implications, methods for establishing spectral and dynamical localization regimes, applications and properties of the Green function, its relation to the eigenfunction correlator, fractional moments of Herglotz-Pick functions, the phase diagram for tree graph operators, resonant delocalization, the spectral statistics conjecture, and related results. The text incorporates notes from courses that were presented at the authors' respective institutions and attended by graduate students and postdoctoral researchers. It has been almost 25 years since the last major book on this subject. The authors masterfully update the subject but more importantly present their own probabilistic insights in clear fashion. This wonderful book is ideal for both researchers and advanced students. --Barry Simon, California Institute of Technology Aucune description trouvée dans une bibliothèque |
Discussion en coursAucun
Google Books — Chargement... GenresClassification décimale de Melvil (CDD)535.150151923Natural sciences and mathematics Physics Optics TheoryClassification de la Bibliothèque du CongrèsÉvaluationMoyenne: Pas d'évaluation.Est-ce vous ?Devenez un(e) auteur LibraryThing. |