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Existence and Regularity Properties of the Integrated Density of States of Random Schrödinger Operators
The theory of random Schrödinger operators is devoted to the mathematical analysis of quantum mechanical Hamiltonians modeling disordered solids. Apart from its importance in physics, it is a multifaceted subject in its own right, drawing on ideas and methods from various mathematical disciplines l...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2008.
|
| Edición: | 1st ed. 2008. |
| Colección: | Lecture Notes in Mathematics,
1917 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-540-72691-3 | ||
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| 020 | |a 9783540726913 |9 978-3-540-72691-3 | ||
| 024 | 7 | |a 10.1007/978-3-540-72691-3 |2 doi | |
| 050 | 4 | |a QA273.A1-274.9 | |
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| 100 | 1 | |a Veselic, Ivan. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Existence and Regularity Properties of the Integrated Density of States of Random Schrödinger Operators |h [electronic resource] / |c by Ivan Veselic. |
| 250 | |a 1st ed. 2008. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2008. | |
| 300 | |a X, 147 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 1917 | |
| 505 | 0 | |a Random Operators -- Existence of the Integrated Density of States -- Wegner Estimate -- Wegner's Original Idea. Rigorous Implementation -- Lipschitz Continuity of the IDS. | |
| 520 | |a The theory of random Schrödinger operators is devoted to the mathematical analysis of quantum mechanical Hamiltonians modeling disordered solids. Apart from its importance in physics, it is a multifaceted subject in its own right, drawing on ideas and methods from various mathematical disciplines like functional analysis, selfadjoint operators, PDE, stochastic processes and multiscale methods. The present text describes in detail a quantity encoding spectral features of random operators: the integrated density of states or spectral distribution function. Various approaches to the construction of the integrated density of states and the proof of its regularity properties are presented. The setting is general enough to apply to random operators on Riemannian manifolds with a discrete group action. References to and a discussion of other properties of the IDS are included, as are a variety of models beyond those treated in detail here. | ||
| 650 | 0 | |a Probabilities. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Dynamical systems. | |
| 650 | 1 | 4 | |a Probability Theory. |
| 650 | 2 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Dynamical Systems. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783540838654 |
| 776 | 0 | 8 | |i Printed edition: |z 9783540726890 |
| 830 | 0 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 1917 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-540-72691-3 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 912 | |a ZDB-2-LNM | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||