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Taschenbuch. Zustand: 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.
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Taschenbuch. Zustand: 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.
Buch. Zustand: 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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In den WarenkorbZustand: New. Brand New! Fast Delivery This is an International Edition and ship within 24-48 hours. Deliver by FedEx and Dhl, & Aramex, UPS, & USPS and we do accept APO and PO BOX Addresses. Order can be delivered worldwide within 6-10 days and we do have flat rate for up to 2LB. Extra shipping charges will be requested if the Book weight is more than 5 LB. This Item May be shipped from India, United states & United Kingdom. Depending on your location and availability.
Sprache: Englisch
Verlag: Kluwer Academic Publishers, 2002
ISBN 10: 1402007493 ISBN 13: 9781402007491
Anbieter: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irland
Zustand: 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. . . . .
Sprache: Englisch
Verlag: Kluwer Academic Publishers, 2002
ISBN 10: 1402007485 ISBN 13: 9781402007484
Anbieter: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irland
Zustand: 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. . . . .
Zustand: New. pp. 412.
Zustand: New. pp. 412.