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Twisted second quantization. (English) Zbl 0707.47039
Summary: A formalism of a second quantization procedure based upon the twisted SU(N) group is constructed and the related twisted canonical commutation relations (TCCR) are investigated. In a particular case, these relations reduce to classical CCR. Irreducible representations of TCCR are described. The Stone-von Neumann uniqueness theorem does not hold for the general TCCR.

MSC:
47N50 Applications of operator theory in the physical sciences
81S05 Commutation relations and statistics as related to quantum mechanics (general)
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