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Catalogue Information
Field name	Details
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 acces to digital resource	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: Functional analysis -- Miscellaneous applications of functional analysis -- Applications in quantum physics . Operator theory -- Special classes of linear operators -- Random operators . Order-disorder models . Probability theory and stochastic processes -- Stochastic analysis -- Random operators and equations . Quantum theory -- General mathematical topics and methods in quantum theory -- Quantum mechanics on special spaces: manifolds, fractals, graphs, etc. . Quantum theory -- General mathematical topics and methods in quantum theory -- Selfadjoint operator theory in quantum theory, including spectral analysis . Random operators . Statistical mechanics, structure of matter -- Applications to specific types of physical systems -- Random media, disordered materials (including liquid crystals and spin glasses) . Statistical mechanics, structure of matter -- Equilibrium statistical mechanics -- Disordered systems (random Ising models, random Schrödinger operators, etc.) . Stochastic Analysis . Authors: Aizenman, Michael . author . Warzel, Simone, 1973- . Series: Graduate studies in mathematics . Classification: 535/.150151923 .

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Random operators : disorder effects on quantum spectra and dynamics /

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