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On the dynamics of the Fermi-Bose model

In English

Författare

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.

Publiceringsår

2013

Språk

Engelska

Publikation/Tidskrift/Serie

Journal of Physics A: Mathematical and Theoretical

Volym

46

Issue

1

Dokumenttyp

Artikel i tidskrift

Förlag

IOP Publishing

Ämne

  • Mathematics

Status

Published

ISBN/ISSN/Övrigt

  • ISSN: 1751-8113