A geometric approach to the canonical reformulation of quantum
Teoretičeskaâ i matematičeskaâ fizika, Tome 147 (2006) no. 3, pp. 479-486

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The measure of distinguishability between two neighboring preparations of a physical system by a measurement device naturally defines a line element on the preparation space of the system. We show that quantum mechanics can be derived from the invariance of this line element in the canonical formulation. We also discuss the canonical formulation of quantum statistical mechanics.
Keywords: preparation, distinguishability metric, measurement device, canonical quantum mechanics.
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     author = {M. Mehrafarin},
     title = {A geometric approach to the canonical reformulation of quantum},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {3},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2006_147_3_a5/}
}
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M. Mehrafarin. A geometric approach to the canonical reformulation of quantum. Teoretičeskaâ i matematičeskaâ fizika, Tome 147 (2006) no. 3, pp. 479-486. http://geodesic.mathdoc.fr/item/TMF_2006_147_3_a5/