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...
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York
Birkhäuser
2014
|
| Series: | Progress in mathematical physics
65 |
| Subjects: | |
| Online Access: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext |
| Summary: | 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 |
| Item Description: | Single-particle Localisation -- A Brief History of Anderson Localization.- Single-Particle MSA Techniques -- Multi-particle Localization -- Multi-particle Eigenvalue Concentration Bounds -- Multi-particle MSA Techniques Includes bibliographical references and index |
| Physical Description: | 1 Online-Ressource (XI, 238 S.) graph. Darst. |
| ISBN: | 9781461482253 9781461482260 |
| DOI: | 10.1007/978-1-4614-8226-0 |
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| 500 | |a Includes bibliographical references and 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 | ||
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| id | DE-604.BV041461950 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:57:16Z |
| institution | BVB |
| isbn | 9781461482253 9781461482260 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026908292 |
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| physical | 1 Online-Ressource (XI, 238 S.) graph. Darst. |
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| publishDate | 2014 |
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| publisher | Birkhäuser |
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| series | Progress in mathematical physics |
| series2 | Progress in mathematical physics |
| spelling | Čulaevskij, V. A. Verfasser aut Multi-scale analysis for random quantum systems with interaction Victor Chulaevsky ; Yuri Suhov New York Birkhäuser 2014 1 Online-Ressource (XI, 238 S.) graph. Darst. txt rdacontent c rdamedia cr rdacarrier Progress in mathematical physics 65 Single-particle Localisation -- A Brief History of Anderson Localization.- Single-Particle MSA Techniques -- Multi-particle Localization -- Multi-particle Eigenvalue Concentration Bounds -- Multi-particle MSA Techniques Includes bibliographical references and index 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 Multiscale modeling Functional Analysis Mathematical Methods in Physics Probability Theory and Stochastic Processes Applications of Mathematics Vielteilchensystem (DE-588)4063491-7 gnd rswk-swf Quantenmechanisches System (DE-588)4300046-0 gnd rswk-swf Mehrskalenanalyse (DE-588)4416235-2 gnd rswk-swf Quantenmechanisches System (DE-588)4300046-0 s Mehrskalenanalyse (DE-588)4416235-2 s Vielteilchensystem (DE-588)4063491-7 s DE-604 Suchov, Jurij M. Verfasser aut Progress in mathematical physics 65 (DE-604)BV035421269 65 https://doi.org/10.1007/978-1-4614-8226-0 Verlag Volltext |
| spellingShingle | Čulaevskij, V. A. Suchov, Jurij M. Multi-scale analysis for random quantum systems with interaction Progress in mathematical physics Multiscale modeling Functional Analysis Mathematical Methods in Physics Probability Theory and Stochastic Processes Applications of Mathematics Vielteilchensystem (DE-588)4063491-7 gnd Quantenmechanisches System (DE-588)4300046-0 gnd Mehrskalenanalyse (DE-588)4416235-2 gnd |
| subject_GND | (DE-588)4063491-7 (DE-588)4300046-0 (DE-588)4416235-2 |
| title | Multi-scale analysis for random quantum systems with interaction |
| title_auth | Multi-scale analysis for random quantum systems with interaction |
| title_exact_search | Multi-scale analysis for random quantum systems with interaction |
| title_full | Multi-scale analysis for random quantum systems with interaction Victor Chulaevsky ; Yuri Suhov |
| title_fullStr | Multi-scale analysis for random quantum systems with interaction Victor Chulaevsky ; Yuri Suhov |
| title_full_unstemmed | Multi-scale analysis for random quantum systems with interaction Victor Chulaevsky ; Yuri Suhov |
| title_short | Multi-scale analysis for random quantum systems with interaction |
| title_sort | multi scale analysis for random quantum systems with interaction |
| topic | Multiscale modeling Functional Analysis Mathematical Methods in Physics Probability Theory and Stochastic Processes Applications of Mathematics Vielteilchensystem (DE-588)4063491-7 gnd Quantenmechanisches System (DE-588)4300046-0 gnd Mehrskalenanalyse (DE-588)4416235-2 gnd |
| topic_facet | Multiscale modeling Functional Analysis Mathematical Methods in Physics Probability Theory and Stochastic Processes Applications of Mathematics Vielteilchensystem Quantenmechanisches System Mehrskalenanalyse |
| url | https://doi.org/10.1007/978-1-4614-8226-0 |
| volume_link | (DE-604)BV035421269 |
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