Spectral Theory of Random Schrödinger Operators

Language: English

Published by Birkhäuser Boston Jan 1990, 1990

081763486X / 9780817634865

Series: Book 3 of 35 - Probability and Its Applications

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -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. 620 pp. Englisch.…

Seller Inventory # 9780817634865

Title
Spectral Theory of Random Schrödinger Operators
Author
J. Lacroix
Publisher
Birkhäuser Boston Jan 1990
Publication year
1990
Condition
Neu
Binding
Buch
Language
English
ISBN 10
081763486X
ISBN 13
9780817634865
Item weight
1,086 grams
Dimensions
241x160x38 mm
Series
Book 3 of 35: Probability and Its Applications

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

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BuchWeltWeit Ludwig Meier e.K.

Germany