Completely integrable systems always admit more alternatie Hamiltonian descriptions. The geometrical formulation of quantum systems shows that similarconclusions hold true also for quantum systems. In addition, the description of quantum systems on Hilbert manifolds, e.g., the complex projective space, shows that not only quantum systems admit alternative Hamiltonian descriptions, they also admit alternative linear descriptions.
Classical and Quantum Symmetries Reduction and Integrability
SPARANO, Giovanni;VILASI, Gaetano
2013-01-01
Abstract
Completely integrable systems always admit more alternatie Hamiltonian descriptions. The geometrical formulation of quantum systems shows that similarconclusions hold true also for quantum systems. In addition, the description of quantum systems on Hilbert manifolds, e.g., the complex projective space, shows that not only quantum systems admit alternative Hamiltonian descriptions, they also admit alternative linear descriptions.File in questo prodotto:
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