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Random operators : = disorder effect...

Aizenman, Michael,

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Random operators : = disorder effects on quantum spectra and dynamics /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Random operators :/ Michael Aizenman, Simone Warzel.
其他題名:	disorder effects on quantum spectra and dynamics /
作者:	Aizenman, Michael,
其他作者:	Warzel, Simone,
面頁冊數:	1 online resource (xiv, 326 pages)
標題:	Random operators. -
電子資源:	http://www.ams.org/gsm/168
電子資源:	https://doi.org/10.1090/gsm/168
ISBN:	9781470427832 (online)

Random operators : = disorder effects on quantum spectra and dynamics /
Aizenman, Michael,

Random operators :disorder effects on quantum spectra and dynamics /[electronic resource] Michael Aizenman, Simone Warzel. - 1 online resource (xiv, 326 pages) - Graduate Studies in Mathematics, v. 168.

Includes bibliographical references (pages 303-321) and index.

Chapter 1. Introduction

Access is restricted to licensed institutions

Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2015

Mode of access : World Wide Web

ISBN: 9781470427832 (online)Subjects--Topical Terms:

706167
Random operators.

LC Class. No.: QA274.28 / .A39 2015

Dewey Class. No.: 535/.150151923

Random operators : = disorder effects on quantum spectra and dynamics /
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490 0 $a Graduate Studies in Mathematics, $v v. 168
504 $a Includes bibliographical references (pages 303-321) and index.
505 0 0 $t Chapter 1. Introduction $t Chapter 2. General relations between spectra and dynamics $t Chapter 3. Ergodic operators and their self-averaging properties $t Chapter 4. Density of states bounds: Wegner estimate and Lifshitz tails $t Chapter 5. The relation of Green functions to eigenfunctions $t Chapter 6. Anderson localization through path expansions $t Chapter 7. Dynamical localization and fractional moment criteria $t Chapter 8. Fractional moments from an analytical perspective $t Chapter 9. Strategies for mapping exponential decay $t Chapter 10. Localization at high disorder and at extreme energies $t Chapter 11. Constructive criteria for Anderson localization $t Chapter 12. Complete localization in one dimension $t Chapter 13. Diffusion hypothesis and the Green-Kubo-Streda formula $t Chapter 14. Integer quantum Hall effect $t Chapter 15. Resonant delocalization $t Chapter 16. Phase diagrams for regular tree graphs $t Chapter 17. The eigenvalue point process and a conjectured dichotomy $t Appendix A. Elements of spectral theory $t Appendix B. Herglotz-Pick functions and their spectra
506 1 $a Access is restricted to licensed institutions
533 $a Electronic reproduction. $b Providence, Rhode Island : $c American Mathematical Society. $d 2015
538 $a Mode of access : World Wide Web
588 $a Description based on print version record.
650 0 $a Random operators. $3 706167
650 0 $a Stochastic analysis. $3 533923
650 0 $a Order-disorder models. $3 598818
650 7 $a Statistical mechanics, structure of matter -- Equilibrium statistical mechanics -- Disordered systems (random Ising models, random Schr{uml}odinger operators, etc.). $2 msc $3 3775572
650 7 $a Probability theory and stochastic processes -- Stochastic analysis -- Random operators and equations. $2 msc $3 3775573
650 7 $a Operator theory -- Special classes of linear operators -- Random operators. $2 msc $3 3775574
650 7 $a Quantum theory -- General mathematical topics and methods in quantum theory -- Selfadjoint operator theory in quantum theory, including spectral analysis. $2 msc $3 3775575
650 7 $a Quantum theory -- General mathematical topics and methods in quantum theory -- Quantum mechanics on special spaces: manifolds, fractals, graphs, etc.. $2 msc $3 3775576
650 7 $a Statistical mechanics, structure of matter -- Applications to specific types of physical systems -- Random media, disordered materials (including liquid crystals and spin glasses). $2 msc $3 3775577
650 7 $a Functional analysis -- Miscellaneous applications of functional analysis -- Applications in quantum physics. $2 msc $3 3775578
700 1 $a Warzel, Simone, $d 1973- $3 3775571
776 0 $i Print version: $a Aizenman, Michael, $t Random operators : $w (DLC) 2015025474 $x 1065-7339 $z 9781470419134
856 4 $3 Contents $u http://www.ams.org/gsm/168
856 4 $3 Contents $u https://doi.org/10.1090/gsm/168