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Random Operators : Disorder Effects on Quantum Spectra and Dynamics, Hardcove...
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Item specifics
- Condition
- Book Title
- Random Operators : Disorder Effects on Quantum Spectra and Dynami
- ISBN
- 9781470419134
About this product
Product Identifiers
Publisher
American Mathematical Society
ISBN-10
1470419130
ISBN-13
9781470419134
eBay Product ID (ePID)
219177989
Product Key Features
Number of Pages
320 Pages
Publication Name
Random Operators : Disorder Effects on Quantum Spectra and Dynamics
Language
English
Subject
Physics / Quantum Theory, Functional Analysis, Probability & Statistics / Stochastic Processes
Publication Year
2015
Type
Textbook
Subject Area
Mathematics, Science
Series
Graduate Studies in Mathematics Ser.
Format
Hardcover
Dimensions
Item Height
0.9 in
Item Weight
26.5 Oz
Item Length
10.2 in
Item Width
7.3 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2015-025474
Dewey Edition
23
Reviews
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
Series Volume Number
168
Volume Number
Vol. 168
Illustrated
Yes
Dewey Decimal
535/.150151923
Table Of Content
Introduction General relations between spectra and dynamics Ergodic operators and their self-averaging properties Density of states bounds: Wegner estimate and Lifshitz tails The relation of Green functions to eigenfunctions Anderson localization through path expansions Dynamical localization and fractional moment criteria Fractional moments from an analytical perspective Strategies for mapping exponential decay Localization at high disorder and at extreme energies Constructive criteria for Anderson localization Complete localization in one dimension Diffusion hypothesis and the Green-Kubo-Streda formula Integer quantum Hall effect Resonant delocalization Phase diagrams for regular tree graphs The eigenvalue point process and a conjectured dichotomy Elements of spectral theory Herglotz-Pick functions and their spectra Bibliography Index
Synopsis
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., 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.
LC Classification Number
QA274.28.A39 2015
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- n***b (467)- Feedback left by buyer.Past monthVerified purchaseAwesome book and a phenomenal seller! It arrived exactly as described, shipped extremely fast, and was a great value. It was packed securely and made it to me without any damage. The seller also had excellent communication. Thank you for a pleasant transaction!
- l***1 (1465)- Feedback left by buyer.Past 6 monthsVerified purchaseGreat seller; book exactly as described in mint condition sold at a reasonable price; seller shipped item FAST, FREE and with tracking information, a must nowadays; seller shipped in tight, cardboard mailing envelope, which tightly fit over the book, preventing damage in shipment; good communication too; rate seller 10+++++Cuentos de La Habana Elegante, Brand New, Free shipping in the US (#364594098367)
- r***k (215)- Feedback left by buyer.Past 6 monthsVerified purchase100% as described and pictured. Book was well-packed and shipped out in a reasonable time. Arrived in perfect condition. Good communication with seller. I recommend seller Great Book Prices Store and will not hesitate to purchase from them again in the future. Smooth transaction. 5 stars. Thanks.Lockheed Tristar : The Most Technologically Advanced Commercial Jet of Its Ti... (#363819497189)