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Many-body Systems (many-body + system)

Distribution by Scientific Domains
Physics and Astronomy60%

Selected Abstracts

The role of inequalities in the analysis of many-body systems,

INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, Issue 15 2010
J. K. PercusArticle first published online: 8 SEP 2010
Abstract We discuss the strategy of determining properties of many-body systems by applying successively more stringent limitations on the domain on which solutions can lie, i.e., sharpening the degree of resolution of the results obtained. A rough division is made into universal, or system-independent inequalities and system-dependent ones, which are joined by equalities or sum rules. General examples include Fermion ground states and classical fluids in thermal equilibrium, and for the latter, the effect of estimation by saturating inequalities. © 2010 Wiley Periodicals, Inc. Int J Quantum Chem, 2010 [source]

Quantum criticality in ultracold atoms on optical lattices

PHYSICA STATUS SOLIDI (B) BASIC SOLID STATE PHYSICS, Issue 9 2005
Marcos Rigol
Abstract In recent years degenerate quantum gases confined in optical lattices developed as a new field of research bridging the areas of quantum optics, atomic physics, and condensed matter physics. It offers the possibility of manipulating quantum many-body systems with an unprecedented flexibility, so that they can be considered as analog simulators of condensed matter systems. Particularly interesting is the possibility of creating strongly correlated bosonic or fermionic systems. We review here recent numerical simulations, where quantum critical behavior is studied both in and out of equilibrium. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) [source]

Manifestly covariant classical correlation dynamics I. General theory

ANNALEN DER PHYSIK, Issue 10-11 2009
C. Tian
Abstract In this series of papers we substantially extend investigations of Israel and Kandrup on nonequilibrium statistical mechanics in the framework of special relativity. This is the first one devoted to the general mathematical structure. Based on the action-at-a-distance formalism we obtain a single-time Liouville equation. This equation describes the manifestly covariant evolution of the distribution function of full classical many-body systems. For such global evolution the Bogoliubov functional assumption is justified. In particular, using the Balescu-Wallenborn projection operator approach we find that the distribution function of full many-body systems is completely determined by the reduced one-body distribution function. A manifestly covariant closed nonlinear equation satisfied by the reduced one-body distribution function is rigorously derived. We also discuss extensively the generalization to general relativity especially an application to self-gravitating systems. [source]

Manifestly covariant classical correlation dynamics I. General theory

ANNALEN DER PHYSIK, Issue 10-11 2009
C. Tian
Abstract In this series of papers we substantially extend investigations of Israel and Kandrup on nonequilibrium statistical mechanics in the framework of special relativity. This is the first one devoted to the general mathematical structure. Based on the action-at-a-distance formalism we obtain a single-time Liouville equation. This equation describes the manifestly covariant evolution of the distribution function of full classical many-body systems. For such global evolution the Bogoliubov functional assumption is justified. In particular, using the Balescu-Wallenborn projection operator approach we find that the distribution function of full many-body systems is completely determined by the reduced one-body distribution function. A manifestly covariant closed nonlinear equation satisfied by the reduced one-body distribution function is rigorously derived. We also discuss extensively the generalization to general relativity especially an application to self-gravitating systems. [source]