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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 152, Number 1, Pages 20–31
DOI: https://doi.org/10.4213/tmf6067 (Mi tmf6067) 		 
This article is cited in 48 scientific papers (total in 48 papers)

Geometrization of quantum mechanics

J. F. Carinenaa, J. Clemente-Gallardoa, G. Marmobc

a University of Zaragoza
b Università degli Studi di Napoli Federico II
c INFN — National Institute of Nuclear Physics, Sezione di Napoli
Full-text PDF (406 kB) Citations (48)
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DOI: https://doi.org/10.4213/tmf6067
Abstract: We show that various descriptions of quantum mechanics can be represented in geometric terms. In particular, starting with the space of observables and using the momentum map associated with the unitary group, we give a unified geometric description of the different pictures of quantum mechanics. This construction is an alternative to the usual GNS construction for pure states.
Keywords: quantum mechanics, Hermitian structure, Jordan algebra, Poisson bracket, Lie–Jordan algebra.
English version:
Theoretical and Mathematical Physics, 2007, Volume 152, Issue 1, Pages 894–903
DOI: https://doi.org/10.1007/s11232-007-0075-3
Bibliographic databases:
Language: Russian
Citation: J. F. Carinena, J. Clemente-Gallardo, G. Marmo, “Geometrization of quantum mechanics”, TMF, 152:1 (2007), 20–31; Theoret. and Math. Phys., 152:1 (2007), 894–903
Citation in format AMSBIB
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    • This publication is cited in the following 48 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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