Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
26 (1985), S. 62-64
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
Can the fields φ and π of a representation of the CCR's be written as φ=1/{φ1×1+1⊗φ2} and similarly for π, such that φi and πi satisfy the CCR's? What are the possible φi's and πi's? This is equivalent to a factorization of the corresponding generating functionals (scaled by 1/). Generalizing this question somewhat we show a noncommutative analog of Cramér's theorem of probability theory. If φ and π are Fock fields then so are φi, πi, i=1,2; similarly for quasifree representations of the CCR's. As an application we show that the fields of a representation of the CCR's whose generating functional differs from a Fock functional by a phase factor only are just shifted Fock fields.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.526798
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