Language: English
Published by Kluwer Academic/Plenum Publishers, 1999
ISBN 10: 0306459337 ISBN 13: 9780306459337
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Taschenbuch. Condition: Neu. Supersymmetry and Trace Formulae | Chaos and Disorder | Igor V. Lerner (u. a.) | Taschenbuch | ix | Englisch | 2012 | Springer | EAN 9781461372127 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
Condition: New. pp. 420.
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Add to basketCondition: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,850grams, ISBN:9781402007484.
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The motion of a particle in a random potential in two or more dimensions is chaotic, and the trajectories in deterministically chaotic systems are effectively random. It is therefore no surprise that there are links between the quantum properties of disordered systems and those of simple chaotic systems. The question is, how deep do the connec tions go And to what extent do the mathematical techniques designed to understand one problem lead to new insights into the other The canonical problem in the theory of disordered mesoscopic systems is that of a particle moving in a random array of scatterers. The aim is to calculate the statistical properties of, for example, the quantum energy levels, wavefunctions, and conductance fluctuations by averaging over different arrays; that is, by averaging over an ensemble of different realizations of the random potential. In some regimes, corresponding to energy scales that are large compared to the mean level spacing, this can be done using diagrammatic perturbation theory. In others, where the discreteness of the quantum spectrum becomes important, such an approach fails. A more powerful method, devel oped by Efetov, involves representing correlation functions in terms of a supersymmetric nonlinear sigma-model. This applies over a wider range of energy scales, covering both the perturbative and non-perturbative regimes. It was proved using this method that energy level correlations in disordered systems coincide with those of random matrix theory when the dimensionless conductance tends to infinity.
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Language: English
Published by Springer US, Springer, 1999
ISBN 10: 0306459337 ISBN 13: 9780306459337
Seller: AHA-BUCH GmbH, Einbeck, Germany
Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The motion of a particle in a random potential in two or more dimensions is chaotic, and the trajectories in deterministically chaotic systems are effectively random. It is therefore no surprise that there are links between the quantum properties of disordered systems and those of simple chaotic systems. The question is, how deep do the connec tions go And to what extent do the mathematical techniques designed to understand one problem lead to new insights into the other The canonical problem in the theory of disordered mesoscopic systems is that of a particle moving in a random array of scatterers. The aim is to calculate the statistical properties of, for example, the quantum energy levels, wavefunctions, and conductance fluctuations by averaging over different arrays; that is, by averaging over an ensemble of different realizations of the random potential. In some regimes, corresponding to energy scales that are large compared to the mean level spacing, this can be done using diagrammatic perturbation theory. In others, where the discreteness of the quantum spectrum becomes important, such an approach fails. A more powerful method, devel oped by Efetov, involves representing correlation functions in terms of a supersymmetric nonlinear sigma-model. This applies over a wider range of energy scales, covering both the perturbative and non-perturbative regimes. It was proved using this method that energy level correlations in disordered systems coincide with those of random matrix theory when the dimensionless conductance tends to infinity.
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Taschenbuch. Condition: Neu. Strongly Correlated Fermions and Bosons in Low-Dimensional Disordered Systems | Igor V. Lerner (u. a.) | Taschenbuch | x | Englisch | 2002 | Springer | EAN 9781402007491 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
Language: English
Published by Kluwer Academic Publishers, 2002
ISBN 10: 1402007493 ISBN 13: 9781402007491
Seller: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Ireland
Condition: New. Proceedings of the NATO Advanced Study Institute on Field Theory of Strongly Correlated Bosons and Fermions in Low-Dimensional Disordered Systems, held in Windsor, United Kingdom, 13-26 August 2001 Editor(s): Lerner, Igor V.; Althsuler, Boris L.; Fal'ko, Vladimir I.; Giamarchi, Thierry. Series: NATO Science Series II. Num Pages: 398 pages, 34 black & white illustrations, biography. BIC Classification: PHFC; PHP. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 240 x 160 x 21. Weight in Grams: 1270. . 2002. Softcover reprint of the original 1st ed. 2002. Paperback. . . . .
Language: English
Published by Kluwer Academic Publishers, 2002
ISBN 10: 1402007485 ISBN 13: 9781402007484
Seller: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Ireland
Condition: New. Proceedings of the NATO Advanced Study Institute on Field Theory of Strongly Correlated Bosons and Fermions in Low-Dimensional Disordered Systems, held in Windsor, United Kingdom, 13-26 August 2001 Editor(s): Lerner, Igor V.; Althsuler, Boris L.; Fal'ko, Vladimir I.; Giamarchi, Thierry. Series: NATO Science Series II. Num Pages: 398 pages, 34 black & white illustrations, biography. BIC Classification: PHFC; PHP. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 235 x 155 x 23. Weight in Grams: 752. . 2002. Hardback. . . . .
Condition: New. pp. 412.