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``Re: Representations of CAR'' by bci1 on 2009-02-21 14:46:08
A useful start in answering your question is

"Exponential representations of the canonical commutation relations",
by Fabrey, James Douglas (1969), a PhD Thesis from MIT, that can be found at:

http://hdl.handle.net/1721.1/39977

http://dspace.mit.edu/bitstream/handle/1721.1/39977/30017852.pdf?sequence=1

http://74.125.95.132/search?q=cache:xehI7dZCkG0J:dspace.mit.edu/handle/1721.1/39977+representations+of+the+canonical+commutation+relations&hl=en&ct=clnk&cd=4&gl=uk

Perhaps a more useful paper is the recent clear presentation by Asao ARAI in
Nonlinear Mathematical Physics 1995, V.2, N 3–4, 247–262.
"Representation of Canonical Commutation Relations in a Gauge Theory,
the Aharonov-Bohm Effect, and the Dirac-Weyl Operator."

Hope this helps,

IC
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