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On the dynamics of the Fermi-Bose model
Department of Mathematics, Technical University of Denmark, Kgs. Lyngby, Denmark.ORCID iD: 0000-0002-2630-7479
Center for Mathematical Sciences, Lund University, Lund, Sweden.
2013 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 46, no 1, article id 015005Article in journal (Refereed) Published
Abstract [en]

We consider the exponential matrix representing the dynamics of the Fermi-Bose model in an undepleted bosonic field approximation. A recent application of this model is molecular dimers dissociating into its atomic compounds. The problem is solved in D spatial dimensions by dividing the system matrix into blocks with generalizations of Hankel matrices, here referred to as D-block-Hankel matrices. The method is practically useful for treating large systems, i.e. dense computational grids or higher spatial dimensions, either on a single standard computer or a cluster. In particular the results can be used for studies of three-dimensional physical systems of arbitrary geometry. We illustrate the generality of our approach by giving numerical results for the dynamics of Glauber type atomic pair correlation functions for a non-isotropic three-dimensional harmonically trapped molecular Bose-Einstein condensate.

Place, publisher, year, edition, pages
Institute of Physics (IOP), 2013. Vol. 46, no 1, article id 015005
National Category
Other Physics Topics Condensed Matter Physics Computational Mathematics
Identifiers
URN: urn:nbn:se:oru:diva-65558DOI: 10.1088/1751-8113/46/1/015005ISI: 000312108600006Scopus ID: 2-s2.0-84871206813OAI: oai:DiVA.org:oru-65558DiVA, id: diva2:1188572
Available from: 2018-03-07 Created: 2018-03-07 Last updated: 2018-03-14Bibliographically approved

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Ögren, Magnus

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