LEADER 05775nam 22009375 450 001 9910299975403321 005 20200705110151.0 010 $a1-4614-8226-7 024 7 $a10.1007/978-1-4614-8226-0 035 $a(CKB)3710000000078542 035 $a(Springer)9781461482260 035 $a(MH)013879492-8 035 $a(SSID)ssj0001010517 035 $a(PQKBManifestationID)11562138 035 $a(PQKBTitleCode)TC0001010517 035 $a(PQKBWorkID)11000141 035 $a(PQKB)11678425 035 $a(DE-He213)978-1-4614-8226-0 035 $a(MiAaPQ)EBC6311571 035 $a(MiAaPQ)EBC1466241 035 $a(Au-PeEL)EBL1466241 035 $a(CaPaEBR)ebr10976287 035 $a(OCoLC)869771902 035 $a(PPN)172420873 035 $a(EXLCZ)993710000000078542 100 $a20130920d2014 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMulti-scale Analysis for Random Quantum Systems with Interaction /$fby Victor Chulaevsky, Yuri Suhov 205 $a1st ed. 2014. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Birkhäuser,$d2014. 215 $a1 online resource (XI, 238 p. 5 illus.)$conline resource 225 1 $aProgress in Mathematical Physics,$x1544-9998 ;$v65 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a1-4614-8225-9 320 $aIncludes bibliographical references (pages [229]-235) and index. 327 $aPreface -- 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. 330 $aThe study of quantum disorder has generated considerable research activity in mathematics and physics over past 40 years. While single-particle models have been extensively studied at a rigorous mathematical level, little was known about systems of several interacting particles, let alone systems with positive spatial particle density. Creating a consistent theory of disorder in multi-particle quantum systems is an important and challenging problem that largely remains open. Multi-scale Analysis for Random Quantum Systems with Interaction  presents the progress that had been recently achieved in this area.   The main focus of the book is on a rigorous derivation of the multi-particle localization in a strong random external potential field. To make the presentation accessible to a wider audience, the authors restrict attention to a relatively simple tight-binding Anderson model on a cubic lattice Zd.   This book includes the following cutting-edge features: * an introduction to the state-of-the-art single-particle localization theory * an extensive discussion of relevant technical aspects of the localization theory * a thorough comparison of the multi-particle model with its single-particle counterpart * a self-contained rigorous derivation of both spectral and dynamical localization in the multi-particle tight-binding Anderson model.   Required mathematical background for the book includes a knowledge of functional calculus, spectral theory (essentially reduced to the case of finite matrices) and basic probability theory. This is an excellent text for a year-long graduate course or seminar in mathematical physics. It also can serve as a standard reference for specialists. 410 0$aProgress in Mathematical Physics,$x1544-9998 ;$v65 606 $aFunctional analysis 606 $aPhysics 606 $aProbabilities 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aSolid state physics 606 $aSpectrum analysis 606 $aMicroscopy 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 606 $aSolid State Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P25013 606 $aSpectroscopy and Microscopy$3https://scigraph.springernature.com/ontologies/product-market-codes/P31090 615 0$aFunctional analysis. 615 0$aPhysics. 615 0$aProbabilities. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aSolid state physics. 615 0$aSpectrum analysis. 615 0$aMicroscopy. 615 14$aFunctional Analysis. 615 24$aMathematical Methods in Physics. 615 24$aProbability Theory and Stochastic Processes. 615 24$aApplications of Mathematics. 615 24$aSolid State Physics. 615 24$aSpectroscopy and Microscopy. 676 $a515.7 700 $aChulaevsky$b Victor$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721745 702 $aSuhov$b Yuri$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299975403321 996 $aMulti-scale Analysis for Random Quantum Systems with Interaction$92504065 997 $aUNINA 999 $aThis Record contains information from the Harvard Library Bibliographic Dataset, which is provided by the Harvard Library under its Bibliographic Dataset Use Terms and includes data made available by, among others the Library of Congress