A Phase Space Approach to the Projective Representation of the Canonical Commutation Relations

The projective nature of the representations of canonical commutation relations on the space of states is probed via cohomological considerations. Some interesting geometrical pictures arise, which associate themselves with the phase descriptions of quantum systems.

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Veröffentlicht in:Progress of theoretical and experimental physics 1996-01, Vol.95 (1), p.37-44
1. Verfasser: Papaloucas, L. C.
Format: Artikel
Sprache:eng
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Zusammenfassung:The projective nature of the representations of canonical commutation relations on the space of states is probed via cohomological considerations. Some interesting geometrical pictures arise, which associate themselves with the phase descriptions of quantum systems.
ISSN:0033-068X
2050-3911
1347-4081
DOI:10.1143/PTP.95.37