On the dynamics of the Fermi-Bose model
Author
Summary, in 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.
Department/s
Publishing year
2013
Language
English
Publication/Series
Journal of Physics A: Mathematical and Theoretical
Volume
46
Issue
1
Document type
Journal article
Publisher
IOP Publishing
Topic
- Mathematics
Status
Published
ISBN/ISSN/Other
- ISSN: 1751-8113