{"product_id":"9781493939527","title":"Progress in Mathematical Physics","description":"\u003ch1\u003eProgress in Mathematical Physics\u003c\/h1\u003e \u003ch2\u003eChulaevsky, Victor; Suhov, Yuri\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe 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. \u003ci\u003eMulti-scale Analysis for Random Quantum Systems with Interaction\u003c\/i\u003e  presents the progress that had been recently achieved in this area. \u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThe 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 Z\u003ci\u003e\u003csup\u003ed\u003c\/sup\u003e\u003c\/i\u003e. \u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThis book includes the following cutting-edge features:\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003ean introduction to the state-of-the-art single-particle localization theory \u003c\/p\u003e\u003cp\u003ean extensive discussion of relevant technical aspects of the localization theory\u003c\/p\u003e\u003cp\u003ea thorough comparison of the multi-particle model with its single-particle counterpart \u003c\/p\u003e\u003cp\u003ea self-contained rigorous derivation of both spectral and dynamical localization in the multi-particle tight-binding Anderson model. \u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eRequired 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. \u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2016-08-23\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9781493939527\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4614-8226-0\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 238\u003c\/p\u003e ","brand":"Springer New York","offers":[{"title":"Default Title","offer_id":45416874541196,"sku":"9781493939527","price":62.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781493939527.jpg?v=1775705447","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9781493939527","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}