Dewey Class |
535/.150151923 |
Title |
Random operators : ([EBook] ) : disorder effects on quantum spectra and dynamics / / Michael Aizenman, Simone Warzel. |
Author |
Aizenman, Michael |
Added Personal Name |
Warzel, Simone, , 1973- |
Publication |
Providence, Rhode Island : : American Mathematical Society, , [2015] |
Physical Details |
1 online resource (xiv, 326 pages) |
Series |
Graduate studies in mathematics ; 168 |
ISBN |
9781470427832 (online) |
Contents note |
Chapter 1. Introduction: Chapter 2. General relations between spectra and dynamics: Chapter 3. Ergodic operators and their self-averaging properties: Chapter 4. Density of states bounds: Wegner estimate and Lifshitz tails: Chapter 5. The relation of Green functions to eigenfunctions: Chapter 6. Anderson localization through path expansions: Chapter 7. Dynamical localization and fractional moment criteria: Chapter 8. Fractional moments from an analytical perspective: Chapter 9. Strategies for mapping exponential decay: Chapter 10. Localization at high disorder and at extreme energies: Chapter 11. Constructive criteria for Anderson localization: Chapter 12. Complete localization in one dimension: Chapter 13. Diffusion hypothesis and the Green-Kubo-Streda formula: Chapter 14. Integer quantum Hall effect: Chapter 15. Resonant delocalization: Chapter 16. Phase diagrams for regular tree graphs: Chapter 17. The eigenvalue point process and a conjectured dichotomy: Appendix A. Elements of spectral theory: Appendix B. Herglotz-Pick functions and their spectra: |
Mode of acces to digital resource |
Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2015 |
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format. |
System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
Internet Site |
http://www.ams.org/gsm/168 |
See Also |
https://doi.org/10.1090/gsm/168 |
Links to Related Works |
Subject References:
Authors:
Series:
Classification:
|