On the Dynamics of the Fermi-Bose Model
Abstract
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 refered 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.
Keywords
Cite
@article{arxiv.1211.1806,
title = {On the Dynamics of the Fermi-Bose Model},
author = {M. Ogren and M. Carlsson},
journal= {arXiv preprint arXiv:1211.1806},
year = {2012}
}
Comments
28 pages, 2 figures. To appear in J. of Phys. A: Mathematical and Theoretical