Reduction of Lie--Jordan algebras: Quantum

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.

Article: 
Reduction of Lie--Jordan algebras: Quantum
Authors: 
F. Falceto, L. Ferro, A. Ibort, G. Marmo
Journal: 
Il Nuovo Cimento
Volume: 
C 36 03
Pages: 
107-115
Year: 
2013
URL: 
http://arxiv.org/abs/1309.4124