The Resource Multi-scale Analysis for Random Quantum Systems with Interaction, by Victor Chulaevsky, Yuri Suhov, (electronic resource)
Multi-scale Analysis for Random Quantum Systems with Interaction, by Victor Chulaevsky, Yuri Suhov, (electronic resource)
Resource Information
The item Multi-scale Analysis for Random Quantum Systems with Interaction, by Victor Chulaevsky, Yuri Suhov, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Multi-scale Analysis for Random Quantum Systems with Interaction, by Victor Chulaevsky, Yuri Suhov, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
- 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. 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
- Language
- eng
- Extent
- XI, 238 pages 5 illustrations
- Contents
-
- 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
- Isbn
- 9781461482260
- Label
- Multi-scale Analysis for Random Quantum Systems with Interaction
- Title
- Multi-scale Analysis for Random Quantum Systems with Interaction
- Statement of responsibility
- by Victor Chulaevsky, Yuri Suhov
- Language
- eng
- 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. 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
- Cataloging source
- IT-FiEUI
- http://library.link/vocab/creatorName
- Chulaevskiĭ, V. A
- Image bit depth
- 0
- Literary form
- non fiction
- http://library.link/vocab/relatedWorkOrContributorName
-
- Suhov, Yu. M.
- SpringerLink (Online service)
- Series statement
-
- Progress in Mathematical Physics,
- Springer eBooks
- Series volume
- 65
- http://library.link/vocab/subjectName
-
- Mathematics
- Functional analysis
- Distribution (Probability theory)
- Mathematical physics
- Label
- Multi-scale Analysis for Random Quantum Systems with Interaction, by Victor Chulaevsky, Yuri Suhov, (electronic resource)
- Antecedent source
- mixed
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier.
- Color
- not applicable
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent.
- Contents
- 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
- Control code
- 978-1-4614-8226-0
- Dimensions
- unknown
- Extent
- XI, 238 pages 5 illustrations
- File format
- multiple file formats
- Form of item
- electronic
- Governing access note
- Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
- Isbn
- 9781461482260
- Level of compression
- uncompressed
- Media category
- computer
- Media MARC source
- rdamedia.
- Media type code
-
- c
- Other control number
- 10.1007/978-1-4614-8226-0
- Other physical details
- online resource.
- Quality assurance targets
- absent
- Reformatting quality
- access
- Specific material designation
- remote
- System control number
- (OCoLC)1086549343
- Label
- Multi-scale Analysis for Random Quantum Systems with Interaction, by Victor Chulaevsky, Yuri Suhov, (electronic resource)
- Antecedent source
- mixed
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier.
- Color
- not applicable
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent.
- Contents
- 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
- Control code
- 978-1-4614-8226-0
- Dimensions
- unknown
- Extent
- XI, 238 pages 5 illustrations
- File format
- multiple file formats
- Form of item
- electronic
- Governing access note
- Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
- Isbn
- 9781461482260
- Level of compression
- uncompressed
- Media category
- computer
- Media MARC source
- rdamedia.
- Media type code
-
- c
- Other control number
- 10.1007/978-1-4614-8226-0
- Other physical details
- online resource.
- Quality assurance targets
- absent
- Reformatting quality
- access
- Specific material designation
- remote
- System control number
- (OCoLC)1086549343
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.eui.eu/portal/Multi-scale-Analysis-for-Random-Quantum-Systems/4ZbegZ02AOg/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/Multi-scale-Analysis-for-Random-Quantum-Systems/4ZbegZ02AOg/">Multi-scale Analysis for Random Quantum Systems with Interaction, by Victor Chulaevsky, Yuri Suhov, (electronic resource)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>