@article{695561, recid = {695561}, author = {ChulaevskiÄ­, V. A., and Suhov, Yu. M.,}, title = {Multi-scale analysis for random quantum systems with interaction [electronic resource] /}, pages = {1 online resource (xi, 238 pages) :}, abstract = {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.}, url = {http://library.usi.edu/record/695561}, doi = {https://doi.org/10.1007/978-1-4614-8226-0}, }