Geodesic
Associative Hamiltonian algebras
Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 2, pp. 250-255 
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/
@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},
     year = {1977},
     volume = {31},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1977_31_2_a11/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Yu. M. Shirokov, TMF, 30 (1977), 6

[2] Yu. M. Shirokov, TMF, 25 (1975), 307 | Zbl

[3] G. S. Agarwal, E. Wolf, Phys. Rev., D2, 10 ; (1970), 2161 | MR | Zbl

[4] M. Schmutz, Nuovo Cim., 25B (1975), 337 | DOI | MR

[5] F. A. Berezin, TMF, 6 (1971), 194 | MR | Zbl

[6] Yu. M. Shirokov, TMF, 28 (1976), 308 | Zbl

[7] E. Grgin, A. Petersen, Phys. Rev., D5 (1972), 300