Title On the dynamics of the Fermi-Bose model
Authors M. Ogren, Marcus Carlsson
Alternative Location http://dx.doi.org/10.1088/1..., Restricted Access
Publication Journal of Physics A: Mathematical and Theoretical
Year 2013
Volume 46
Issue 1
Pages
Document type Article
Status Published
Quality controlled Yes
Language eng
Publisher IOP Publishing
Abstract English 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.
ISBN/ISSN/Other ISSN: 1751-8113

Questions: webmaster
Last update: 2013-04-11

Centre for Mathematical Sciences, Box 118, SE-22100, Lund. Telefon: +46 46-222 00 00 (vx)