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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Spectral Theory of Random Schrödinger Operators
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Spectral Theory of Random Schrödinger Operators
R. Carmona, J. Lacroix (Gebundene Ausgabe, Englisch)
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Beschreibung
Since the seminal work of P. Anderson in 1958, localization in disordered systems has been the object of intense investigations. Mathematically speaking, the phenomenon can be described as follows: the self-adjoint operators which are used as Hamiltonians for these systems have a ten dency to have pure point spectrum, especially in low dimension or for large disorder. A lot of effort has been… devoted to the mathematical study of the random self-adjoint operators relevant to the theory of localization for disordered systems. It is fair to say that progress has been made and that the un derstanding of the phenomenon has improved. This does not mean that the subject is closed. Indeed, the number of important problems actually solved is not larger than the number of those remaining. Let us mention some of the latter: • A proof of localization at all energies is still missing for two dimen sional systems, though it should be within reachable range. In the case of the two dimensional lattice, this problem has been approached by the investigation of a finite discrete band, but the limiting pro cedure necessary to reach the full two-dimensional lattice has never been controlled. • The smoothness properties of the density of states seem to escape all attempts in dimension larger than one. This problem is particularly serious in the continuous case where one does not even know if it is continuous. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
01.01.1990
Sprache
Englisch
EAN
9780817634865
Herausgeber
Birkhäuser Boston
Serien- oder Bandtitel
Probability and Its Applications (duplicate)
Sonderedition
Nein
Autor
R. Carmona, J. Lacroix
Seitenanzahl
589
Einbandart
Gebundene Ausgabe
Schlagwörter
Finite, Hölder condition, Identity, Smooth function, differential equation, function, operator theory, proof, spectral theorem, subharmonic function, theorem, partial differential equations
Thema-Inhalt
PBK - Mathematische Analysis, allgemein
PBKF - Funktionalanalysis und Abwandlungen
PBKJ - Differentialrechnung und -gleichungen
Höhe
235 mm
Breite
15.5 cm
Hersteller: Birkhäuser, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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