Sinossi
In a graduate mathematical physics textbook, Aizenman and Warzel combine elements of analysis and probability, and accompany the mathematical discussion with relevant perspectives of physics. Among their topics are general relations between spectra and dynamics, the relation of Green functions to eigenfunctions, dynamical localizations and fractional moment criteria, localization at high disorder and at extreme energies, the diffusion hypothesis and the Green-Kubo-Streda formula, and the eigenvalue point process and a conjectured dichotomy. Annotation ©2016 Ringgold, Inc., Portland, OR (protoview.com)
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Random Operators: Disorder Effects on Quantum Spectra and Dynamics (eng)
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American Mathematical Society, 2015
ISBN 10: 1470419130
ISBN 13: 9781470419134
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Random Operators
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American Mathematical Society, 2015
ISBN 10: 1470419130
ISBN 13: 9781470419134
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Condizione: New. 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. Series: Graduate Studies in Mathematics. Num Pages: 320 pages. BIC Classification: PBK; PBT; PHU. Category: (G) General (US: Trade). Dimension: 254 x 178. . . 2015. . . . . Codice articolo V9781470419134
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Random Operators Disorder Effects on Quantum Spectra and Dynamics
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Random Operators
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American Mathematical Society, US, 2015
ISBN 10: 1470419130
ISBN 13: 9781470419134
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Hardback. Condizione: New. 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. Codice articolo LU-9781470419134
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Random Operators
Editore:
American Mathematical Society, 2015
ISBN 10: 1470419130
ISBN 13: 9781470419134
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Condizione: New. 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. Series: Graduate Studies in Mathematics. Num Pages: 320 pages. BIC Classification: PBK; PBT; PHU. Category: (G) General (US: Trade). Dimension: 254 x 178. . . 2015. . . . . Books ship from the US and Ireland. Codice articolo V9781470419134
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Random Operators: Disorder Effects on Quantum Spectra and Dynamics
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American Mathematical Society, 2015
ISBN 10: 1470419130
ISBN 13: 9781470419134
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Random Operators
Editore:
American Mathematical Society, US, 2015
ISBN 10: 1470419130
ISBN 13: 9781470419134
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Da: Rarewaves.com UK, London, Regno Unito
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Hardback. Condizione: New. 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. Codice articolo LU-9781470419134
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