{ "item_title" : "Multi-Scale Analysis for Random Quantum Systems with Interaction", "item_author" : [" Victor Chulaevsky", "Yuri Suhov "], "item_description" : "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 theoryan extensive discussion of relevant technical aspects of the localization theorya thorough comparison of the multi-particle model with its single-particle counterparta 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.", "item_img_path" : "https://covers2.booksamillion.com/covers/bam/1/46/148/225/1461482259_b.jpg", "price_data" : { "retail_price" : "99.99", "online_price" : "99.99", "our_price" : "99.99", "club_price" : "99.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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