Falceto, F. and Ferro, L. and Ibort, A. and Marmo, G. (2013) Reduction of Lie-Jordan algebras: Quantum. Il nuovo cimento C, 36 (3). pp. 117-125. ISSN 1826-9885
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Abstract
In this paper we present a theory of reduction of quantum systems in the presence of symmetries and constraints. The language used is that of Lie-Jordan Banach algebras, which are discussed in some detail together with spectrum properties and the space of states. The reduced Lie-Jordan Banach algebra is characterized together with the Dirac states on the physical algebra of observables.
| Item Type: | Article |
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| Uncontrolled Keywords: | Algebraic methods ; Formalism ; Foundations of quantum mechanics; measurement theory ; Rings and algebras |
| Subjects: | 500 Scienze naturali e Matematica > 530 Fisica |
| Depositing User: | Marina Spanti |
| Date Deposited: | 05 May 2020 12:53 |
| Last Modified: | 05 May 2020 12:53 |
| URI: | http://eprints.bice.rm.cnr.it/id/eprint/18272 |
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