# 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

Journal:

Il Nuovo Cimento

Volume:

C 36 03

Pages:

107-115

Year:

2013

URL:

http://arxiv.org/abs/1309.4124