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