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Multi-scale Analysis for Random Quantum Systems with Interaction
The study of quantum disorder has generated considerable research activity in mathematics and physics over past 40 years. While single-particle models have been extensively studied at a rigorous mathematical level, little was known about systems of several interacting particles, let alone systems wi...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer New York : Imprint: Birkhäuser,
2014.
|
| Edición: | 1st ed. 2014. |
| Colección: | Progress in Mathematical Physics,
65 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-1-4614-8226-0 | ||
| 003 | DE-He213 | ||
| 005 | 20220119221727.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 130920s2014 xxu| s |||| 0|eng d | ||
| 020 | |a 9781461482260 |9 978-1-4614-8226-0 | ||
| 024 | 7 | |a 10.1007/978-1-4614-8226-0 |2 doi | |
| 050 | 4 | |a QA319-329.9 | |
| 072 | 7 | |a PBKF |2 bicssc | |
| 072 | 7 | |a MAT037000 |2 bisacsh | |
| 072 | 7 | |a PBKF |2 thema | |
| 082 | 0 | 4 | |a 515.7 |2 23 |
| 100 | 1 | |a Chulaevsky, Victor. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Multi-scale Analysis for Random Quantum Systems with Interaction |h [electronic resource] / |c by Victor Chulaevsky, Yuri Suhov. |
| 250 | |a 1st ed. 2014. | ||
| 264 | 1 | |a New York, NY : |b Springer New York : |b Imprint: Birkhäuser, |c 2014. | |
| 300 | |a XI, 238 p. 5 illus. |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 Progress in Mathematical Physics, |x 2197-1846 ; |v 65 | |
| 505 | 0 | |a Preface -- Part I Single-particle Localisation -- A Brief History of Anderson Localization.- Single-Particle MSA Techniques -- Part II Multi-particle Localization -- Multi-particle Eigenvalue Concentration Bounds -- Multi-particle MSA Techniques -- References -- Index. | |
| 520 | |a The study of quantum disorder has generated considerable research activity in mathematics and physics over past 40 years. While single-particle models have been extensively studied at a rigorous mathematical level, little was known about systems of several interacting particles, let alone systems with positive spatial particle density. Creating a consistent theory of disorder in multi-particle quantum systems is an important and challenging problem that largely remains open. Multi-scale Analysis for Random Quantum Systems with Interaction presents the progress that had been recently achieved in this area. The main focus of the book is on a rigorous derivation of the multi-particle localization in a strong random external potential field. To make the presentation accessible to a wider audience, the authors restrict attention to a relatively simple tight-binding Anderson model on a cubic lattice Zd. This book includes the following cutting-edge features: * an introduction to the state-of-the-art single-particle localization theory * an extensive discussion of relevant technical aspects of the localization theory * a thorough comparison of the multi-particle model with its single-particle counterpart * a self-contained rigorous derivation of both spectral and dynamical localization in the multi-particle tight-binding Anderson model. Required mathematical background for the book includes a knowledge of functional calculus, spectral theory (essentially reduced to the case of finite matrices) and basic probability theory. This is an excellent text for a year-long graduate course or seminar in mathematical physics. It also can serve as a standard reference for specialists. | ||
| 650 | 0 | |a Functional analysis. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Probabilities. | |
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a Condensed matter. | |
| 650 | 0 | |a Spectrum analysis. | |
| 650 | 1 | 4 | |a Functional Analysis. |
| 650 | 2 | 4 | |a Mathematical Methods in Physics. |
| 650 | 2 | 4 | |a Probability Theory. |
| 650 | 2 | 4 | |a Applications of Mathematics. |
| 650 | 2 | 4 | |a Condensed Matter Physics. |
| 650 | 2 | 4 | |a Spectroscopy. |
| 700 | 1 | |a Suhov, Yuri. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9781461482277 |
| 776 | 0 | 8 | |i Printed edition: |z 9781461482253 |
| 776 | 0 | 8 | |i Printed edition: |z 9781493939527 |
| 830 | 0 | |a Progress in Mathematical Physics, |x 2197-1846 ; |v 65 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-1-4614-8226-0 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||