Reduction of Lie--Jordan algebras: Quantum
Mathematical Physics
2013-09-18 v1 math.MP
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.
Keywords
Cite
@article{arxiv.1309.4124,
title = {Reduction of Lie--Jordan algebras: Quantum},
author = {F. Falceto and L. Ferro and A. Ibort and G. Marmo},
journal= {arXiv preprint arXiv:1309.4124},
year = {2013}
}