Reduction of Lie-Jordan Banach algebras and quantum states

Details Reduction of Lie-Jordan Banach algebras and quantum states Reduction of Lie-Jordan Banach algebras and quantum states

2012-02-17

arxiv.org/abs/1202.3969v1

Physics

Mathematical Physics

Scientific paper

A theory of reduction of Lie-Jordan Banach algebras with respect to either a Jordan ideal or a Lie-Jordan subalgebra is presented. This theory is compared with the standard reduction of C*-algebras of observables of a quantum system in the presence of quantum constraints. It is shown that the later corresponds to the particular instance of the reduction of Lie-Jordan Banach algebras with respect to a Lie-Jordan subalgebra as described in this paper. The space of states of the reduced Lie-Jordan Banach algebras is described in terms of equivalence classes of extensions to the full algebra and their GNS representations are characterized in the same way. A few simple examples are discussed that illustrates some of the main results.

Affiliated with

Also associated with

No associations

Rating

Reduction of Lie-Jordan Banach algebras and quantum states does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Reduction of Lie-Jordan Banach algebras and quantum states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Reduction of Lie-Jordan Banach algebras and quantum states will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-36471