Geodesic
Associative Hamiltonian algebras
Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 2, pp. 250-255

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Generalization to any finite number of the degrees of freedom is obtained for the following statement proved earlier [1] in the one-dimensional case: classical and quantum mechanics are the only associative canonical hamiltonian theories. 
@article{TMF_1977_31_2_a11,
     author = {G. K. Tolokonnikov},
     title = {Associative {Hamiltonian} algebras},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {250--255},
     publisher = {mathdoc},
     volume = {31},
     number = {2},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1977_31_2_a11/}
}
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G. K. Tolokonnikov. Associative Hamiltonian algebras. Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 2, pp. 250-255. http://geodesic.mathdoc.fr/item/TMF_1977_31_2_a11/