Geodesic
Geometrization of quantum mechanics
Teoretičeskaâ i matematičeskaâ fizika, Tome 152 (2007) no. 1, pp. 20-31 Cet article a éte moissonné depuis la source Math-Net.Ru

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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
Mots-clés : Poisson bracket, Lie–Jordan algebra. 
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J. F. Carinena; J. Clemente-Gallardo; G. Marmo. Geometrization of quantum mechanics. Teoretičeskaâ i matematičeskaâ fizika, Tome 152 (2007) no. 1, pp. 20-31. http://geodesic.mathdoc.fr/item/TMF_2007_152_1_a1/

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