On realizations of nonlinear Lie algebras by differential operators

Details On realizations of nonlinear Lie algebras by differential operators On realizations of nonlinear Lie algebras by differential operators

1998-03-31

arxiv.org/abs/hep-th/9803253v2

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, Latex; New examples added in Sect. 3

Scientific paper

10.1088/0305-4470/32/15/008

We study realizations of polynomial deformations of the sl(2,R)- Lie algebra in terms of differential operators strongly related to bosonic operators. We also distinguish their finite- and infinite-dimensional representations. The linear, quadratic and cubic cases are explicitly visited but the method works for arbitrary degrees in the polynomial functions. Multi-boson Hamiltonians are studied in the context of these ``nonlinear'' Lie algebras and some examples dealing with quantum optics are pointed out.

Affiliated with

Also associated with

No associations

Rating

On realizations of nonlinear Lie algebras by differential operators 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 On realizations of nonlinear Lie algebras by differential operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On realizations of nonlinear Lie algebras by differential operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-309587