Graded Fock--like representations for a system of algebraically interacting paraparticles

Details Graded Fock--like representations for a system of algebraically interacting paraparticles Graded Fock--like representations for a system of algebraically interacting paraparticles

2011-05-24

arxiv.org/abs/1105.4819v1

Journ. of Phys.: Conf. Ser., v.287, 012037, 2011

Physics

Mathematical Physics

4 pages, 1 ref. updated with respect to the journ. version

Scientific paper

10.1088/1742-6596/287/1/012037

We will present an algebra describing a mixed paraparticle model, known in the bibliography as "The Relative Parabose Set (\textsc{Rpbs})". Focusing in the special case of a single parabosonic and a single parafermionic degree of freedom $P_{BF}^{(1,1)}$, we will study a class of Fock--like representations of this algebra, dependent on a positive integer parameter p (a kind of generalized parastatistics order). Mathematical properties of the Fock--like modules will be investigated for all values of p and constructions such as ladder operators, irreducibility (for the carrier spaces) and Klein group gradings (for both the carrier spaces and the algebra itself) will be established.

Affiliated with

Also associated with

No associations

Rating

Graded Fock--like representations for a system of algebraically interacting paraparticles 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 Graded Fock--like representations for a system of algebraically interacting paraparticles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Graded Fock--like representations for a system of algebraically interacting paraparticles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-516712