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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.

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