Geodesic
Axiomatics of general Hamiltonian theories including classical and quantum ones as particular cases
Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 3, pp. 307-312 
Yu. M. Shirokov. Axiomatics of general Hamiltonian theories including classical and quantum ones as particular cases. Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 3, pp. 307-312. http://geodesic.mathdoc.fr/item/TMF_1975_25_3_a1/
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     author = {Yu. M. Shirokov},
     title = {Axiomatics of general {Hamiltonian} theories including classical and quantum ones as particular cases},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     language = {ru},
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}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The set of axioms of the hamiltonian theory is constructed in the form which is valid for classical and quantum theories as well. These axioms define the algebra with two multiplication operations called the free hamiltonian algebra. Classical and quantum theories are derived as factor algebras corresponding to different equivalence relations. The axiomatics admits essentially new hamiltonian theories with the nonassociative multiplication of the observables.

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[4] R. Hermann, Lie Algebras and Quantum Mechanics, New York, 1970 | MR