Open Access
2013 Classical and Quantum Symmetries Reduction and Integrability Problem
Giuseppe Marmo, Giovanni Sparano, Gaetano Vilasi
J. Geom. Symmetry Phys. 31: 105-117 (2013). DOI: 10.7546/jgsp-31-2013-105-117


Completely integrable systems always admit more alternative Hamiltonian descriptions. The geometrical formulation of quantum systems shows that similar conclusions 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.


Download Citation

Giuseppe Marmo. Giovanni Sparano. Gaetano Vilasi. "Classical and Quantum Symmetries Reduction and Integrability Problem." J. Geom. Symmetry Phys. 31 105 - 117, 2013.


Published: 2013
First available in Project Euclid: 26 May 2017

zbMATH: 1339.37058
MathSciNet: MR3154686
Digital Object Identifier: 10.7546/jgsp-31-2013-105-117

Rights: Copyright © 2013 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

Back to Top