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arXiv · 1309.4124

Reduction of Lie--Jordan algebras: Quantum

F. Falceto·L. Ferro·A. Ibort·G. Marmo
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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.

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F. Falceto, L. Ferro, A. Ibort, G. Marmo. 2013-09-16. Reduction of Lie--Jordan algebras: Quantum. https://doi.org/10.1393/ncc%2Fi2013-11527-1

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