Moyal implementation of flow equations - A non-perturbative approach to quantum many-body systems

Simple item page
dc.contributor.authorKriel J.N.
dc.contributor.authorScholtz F.G.
dc.contributor.authorThom J.D.
dc.date.accessioned2011-05-15T16:03:40Z
dc.date.available2011-05-15T16:03:40Z
dc.date.issued2007
dc.description.abstractWe show how Wegner's flow equations can be reformulated as ordinary differential equations through the use of the Moyal bracket. In finite-dimensional Hilbert spaces the introduction of the Moyal bracket leads naturally to the identification of a small expansion parameter, namely the inverse of the dimensionality of the space. This expansion corresponds to a non-perturbative treatment of the coupling constant. In the case of infinite-dimensional spaces plays the role of the small parameter and the Moyal formulation then allows for a semi-classical treatment of the flow equation. We demonstrate these statements for the Lipkin and Dicke models as well as for the symmetric x4 and double-well potentials. © 2007 IOP Publishing Ltd.
dc.description.versionArticle
dc.identifier.citationJournal of Physics A: Mathematical and Theoretical
dc.identifier.citation40
dc.identifier.citation31
dc.identifier.issn17518113
dc.identifier.other10.1088/1751-8113/40/31/023
dc.identifier.urihttp://hdl.handle.net/10019.1/12727
dc.titleMoyal implementation of flow equations - A non-perturbative approach to quantum many-body systems
dc.typeArticle
Files
Collections
Stellenbosch University - Scopus Publications