Geodesic
Classical and Quantum Systems: Alternative Hamiltonian Descriptions
Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 2, pp. 364-383

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In complete analogy with the classical situation (which is briefly reviewed), we give the bi-Hamiltonian description for quantum systems. We also analyze compatible Hermitian structures in full analogy with compatible Poisson structures.
Keywords: quantum-classical transition, quantum bi-Hamiltonian systems, alternative Hermitian structures, biunitary operators. 
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     author = {G. Marmo and G. Scolarici and A. Simoni and F. Ventriglia},
     title = {Classical and {Quantum} {Systems:} {Alternative} {Hamiltonian} {Descriptions}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {364--383},
     publisher = {mathdoc},
     volume = {144},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_144_2_a14/}
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G. Marmo; G. Scolarici; A. Simoni; F. Ventriglia. Classical and Quantum Systems: Alternative Hamiltonian Descriptions. Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 2, pp. 364-383. http://geodesic.mathdoc.fr/item/TMF_2005_144_2_a14/