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Coherent state representation for fermions
Author(s) -
Bowden Charles M.
Publication year - 2009
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560060615
Subject(s) - fermion , coherent states , physics , boson , phase space , basis (linear algebra) , field (mathematics) , operator (biology) , quantum mechanics , fermionic field , theoretical physics , statistical physics , mathematics , biochemistry , chemistry , geometry , repressor , transcription factor , pure mathematics , quantum , gene
Fermion‐like coherent states are obtained as projections from the Glauber coherent states for a boson field, and the two sets of states have an interesting correspondence. It is shown that because of the correspondence the equation of motion of the density operator for a fermion interacting with a radiation field maps into a classical‐like transport equation in a hypothetical boson phase space. Besides being useful in the description of systems of fermions involved in cooperative phenomena, it is shown that the use of the continuous basis offers some unique advantages even for systems which are essentially Markovian. As an illustration, the method is applied to the description of the time evolution of a two‐level atom interacting with a blackbody radiation field.