{"product_id":"9781461482253","title":"Multi-scale Analysis for Random Quantum Systems with Interaction","description":"\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\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003ePublication Year: \u003c\/strong\u003e2014\u003cbr\u003e\u003cstrong\u003eImprint: \u003c\/strong\u003eSpringer New York\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003eFormat: H\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003eWeight (Gram): 5029\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003c\/p\u003e","brand":"Victor Chulaevsky","offers":[{"title":"Default Title","offer_id":41264328310962,"sku":"9781461482253","price":140.39,"currency_code":"SGD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0502\/5382\/4178\/products\/1461482259.01_SCLZZZZZZZ.jpg?v=1635994516","url":"https:\/\/readabook.store\/products\/9781461482253","provider":"READABOOK BY ALKEM","version":"1.0","type":"link"}