Spectral Theory of Random Schrödinger Operators

Spectral Theory of Random Schrödinger Operators
Author : R. Carmona
Publisher : Springer Science & Business Media
Total Pages : 589
Release : 2012-12-06
ISBN 10 : 9781461244882
ISBN 13 : 1461244889
Language : EN, FR, DE, ES & NL

Spectral Theory of Random Schrödinger Operators Book Description:

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.

Spectral Theory of Random Schrödinger Operators
Language: en
Pages: 589
Authors: R. Carmona
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

Since the seminal work of P. Anderson in 1958, localization in disordered systems has been the object of intense investigations. Mathematically speaking, the ph
Spectral Theory of Random Schrödinger Operators
Language: en
Pages: 587
Authors: René Carmona
Categories: Schrèodinger operator
Type: BOOK - Published: 1990 - Publisher:

Spectral Theory of Random Schrödinger Operators
Language: en
Pages: 126
Authors: Reinhard Lang
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer

The interplay between the spectral theory of Schr|dinger operators and probabilistic considerations forms the main theme of these notes, written for the non-spe
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Language: en
Pages: 249
Authors: Rafael del Río
Categories: Mathematics
Type: BOOK - Published: 2004 - Publisher: American Mathematical Soc.

This volume gathers the articles based on a series of lectures from a workshop held at the Institute of Applied Mathematics of the National University of Mexico
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Language: de
Pages: 125
Authors: Kazuaki Taira
Categories: Boundary value problems
Type: BOOK - Published: 1964 - Publisher:

Spectral Theory of Random Schrodinger Operators
Language: en
Pages: 136
Authors: Reinhard Lang
Categories:
Type: BOOK - Published: 2014-01-15 - Publisher:

Spectral Theory of Random Schrodinger Operators
Language: en
Pages: 620
Authors: R. Carmona
Categories:
Type: BOOK - Published: 1990-01-01 - Publisher:

Clifford Wavelets, Singular Integrals, and Hardy Spaces
Language: en
Pages: 124
Authors: Marius Mitrea
Categories: Mathematics
Type: BOOK - Published: 1994-04-28 - Publisher: Springer

The book discusses the extensions of basic Fourier Analysis techniques to the Clifford algebra framework. Topics covered: construction of Clifford-valued wavele
Stochastic Spectral Theory for Selfadjoint Feller Operators
Language: en
Pages: 463
Authors: Michael Demuth
Categories: Mathematics
Type: BOOK - Published: 2000-07-27 - Publisher: Springer Science & Business Media

In this book, a beautiful interplay between probability theory (Markov processes, martingale theory) on the one hand and operator and spectral theory on the oth
Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday
Language: en
Pages: 948
Authors: Fritz Gesztesy
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: American Mathematical Soc.

This Festschrift had its origins in a conference called SimonFest held at Caltech, March 27-31, 2006, to honor Barry Simon's 60th birthday. It is not a proceedi