On the dynamics of the Fermi-Bose model
(2013) In Journal of Physics A: Mathematical and Theoretical 46(1).- 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 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... (More)
- 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. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3400900
- author
- Ogren, M. and Carlsson, Marcus LU
- organization
- publishing date
- 2013
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Physics A: Mathematical and Theoretical
- volume
- 46
- issue
- 1
- article number
- 015005
- publisher
- IOP Publishing
- external identifiers
-
- wos:000312108600006
- scopus:84871206813
- ISSN
- 1751-8113
- DOI
- 10.1088/1751-8113/46/1/015005
- language
- English
- LU publication?
- yes
- id
- d4d44520-d612-4140-9221-58474c59bd77 (old id 3400900)
- date added to LUP
- 2016-04-01 15:04:19
- date last changed
- 2022-01-28 03:59:36
@article{d4d44520-d612-4140-9221-58474c59bd77,
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 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.}},
author = {{Ogren, M. and Carlsson, Marcus}},
issn = {{1751-8113}},
language = {{eng}},
number = {{1}},
publisher = {{IOP Publishing}},
series = {{Journal of Physics A: Mathematical and Theoretical}},
title = {{On the dynamics of the Fermi-Bose model}},
url = {{http://dx.doi.org/10.1088/1751-8113/46/1/015005}},
doi = {{10.1088/1751-8113/46/1/015005}},
volume = {{46}},
year = {{2013}},
}