Sinossi
The interplay between the spectral theory of Schr|dingeroperators and probabilistic considerations forms the maintheme of these notes, written for the non-specialist readerand intended to provide a brief and elementaryintroductionto this field. An attempt is made to show basic ideas instatu nascendi and to follow their evaluation from simplebeginnings through to more advanced results. The term"genetic" in the title refers to this proceedure. The authorconcentrates on 2 topics which, in the history of thesubject, have been of major conceptual importance - on theone hand the Laplacian is a random medium and the left endof its spectrum (leading to large deviation problems forBrownian motion and the link to thenotion of entropy) andon the other, Schr|dinger operators with general ergodicpotentials in one-dimensional space. Ideas and concepts areexplained in the simplest, possible setting and by means ofa few characteristic problems with heuristic argumentspreceding rigorous proofs.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
Two simple examples.- The general heuristic picture.- Some known results and open problems.- Explanation of Theorem 1 and introduction to an extended Boltzmann theory of entropy.- Explanation of Theorem 2 and introduction to an extended Floquet-Weyl theory.- Conclusion.
Product Description
Book by Lang Reinhard
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Spectral Theory of Random Schrödinger Operators. A Genetic Introduction.
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Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03132 3540549757 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2489031
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Spectral Theory of Random Schrdinger Operators (Paperback)
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Paperback. Condizione: new. Paperback. The interplay between the spectral theory of Schroedinger operators and probabilistic considerations forms the main theme of these notes, written for the non-specialist reader and intended to provide a brief and elementary introduction to this field. An attempt is made to show basic ideas in statu nascendi and to follow their evaluation from simple beginnings through to more advanced results. The term "genetic" in the title refers to this procedure. The author concentrates on two topics which, in the history of the subject, have been of major conceptual importance. On the one hand, the Laplacian is a random medium and the left end of its spectrum (leading to large deviation problems for Brownian motion and the link to the notion of entropy) and on the other, Schroedinger operators with general ergodic potentials in one-dimensional space. Ideas and concepts are explained in the simple terms and by means of a few characteristic problems with heuristic arguments preceding rigorous proofs. The interplay between the spectral theory of Schr|dingeroperators and probabilistic considerations forms the maintheme of these notes, written for the non-specialist readerand intended to provide a brief and elementaryintroductionto this field. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9783540549758
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Spectral Theory of Random Schrödinger Operators: A Genetic Introduction (Lecture Notes in Mathematics, 1498)
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Spectral Theory of Random Schrödinger Operators: A Genetic Introduction (Lecture Notes in Mathematics, Band 1498)
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Taschenbuch. Auflage: 1991. 136 Seiten Einband fleckig, Papier gebräunt, sonst gut erhalten. Sprache: Englisch Gewicht in Gramm: 90. Codice articolo 63667
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Spectral Theory of Random Schrödinger Operators
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Springer Berlin Heidelberg Dez 1991, 1991
ISBN 10: 3540549757
ISBN 13: 9783540549758
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The interplay between the spectral theory of Schr|dingeroperators and probabilistic considerations forms the maintheme of these notes, written for the non-specialist readerand intended to provide a brief and elementaryintroductionto this field. An attempt is made to show basic ideas instatu nascendi and to follow their evaluation from simplebeginnings through to more advanced results. The term'genetic' in the title refers to this proceedure. The authorconcentrates on 2 topics which, in the history of thesubject, have been of major conceptual importance - on theone hand the Laplacian is a random medium and the left endof its spectrum (leading to large deviation problems forBrownian motion and the link to thenotion of entropy) andon the other, Schr|dinger operators with general ergodicpotentials in one-dimensional space. Ideas and concepts areexplained in the simplest, possible setting and by means ofa few characteristic problems with heuristic argumentspreceding rigorous proofs. 136 pp. Englisch. Codice articolo 9783540549758
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