Falceto, F. and Ferro, L. and Ibort, A. and Marmo, G. (2013) Reduction of Lie-Jordan algebras: Classical. Il nuovo cimento C, 36 (3). pp. 107-115. ISSN 1826-9885
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Abstract
In this paper we present a unified algebraic framework to discuss the reduction of classical and quantum systems. The underlying algebraic structure is a Lie-Jordan algebra supplemented, in the quantum case, with a Banach structure. We discuss the reduction by symmetries, by constraints as well as the possible, non trivial, combinations of both. We finally introduce a new, general framework to perform the reduction of physical systems in an algebraic setup.
| Item Type: | Article |
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| Uncontrolled Keywords: | Lagrangian and Hamiltonian mechanics ; Geometric mechanics ; Quantum Mechanics. Algebraic methods |
| Subjects: | 500 Scienze naturali e Matematica > 530 Fisica |
| Depositing User: | Marina Spanti |
| Date Deposited: | 05 May 2020 12:52 |
| Last Modified: | 05 May 2020 12:52 |
| URI: | http://eprints.bice.rm.cnr.it/id/eprint/18271 |
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