TY  - GEN
AB  - 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.
AU  - Chulaevskiĭ, V. A.,
AU  - Suhov, Yu. M.,
CN  - SpringerLink
CN  - TA342
DO  - 10.1007/978-1-4614-8226-0
DO  - doi
ID  - 695561
KW  - Multiscale modeling.
LK  - https://univsouthin.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-1-4614-8226-0
N2  - 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.
SN  - 9781461482260 
SN  - 1461482267 
T1  - Multi-scale analysis for random quantum systems with interaction
TI  - Multi-scale analysis for random quantum systems with interaction
UR  - https://univsouthin.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-1-4614-8226-0
VL  - volume 65
ER  -