On the dynamics of the Fermi-Bose model

M. Ogren, Marcus Carlsson

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Article number015005
JournalJournal of Physics A: Mathematical and Theoretical
Issue number1
Publication statusPublished - 2013

Subject classification (UKÄ)

  • Mathematics


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