Physics – Mathematical Physics
Scientific paper
2003-11-29
Physics
Mathematical Physics
23 pages, no figure
Scientific paper
In this paper two kinds of two-boson realizations of the Higgs algebra are obtained by generalizing the well known Jordan-Schwinger realizations of the SU(2) and SU(1,1) algebras. In each kind, an unitary realization and two nonunitary realizations, together with the properties of their respective acting spaces are discussed in detail. Furthermore, similarity transformations, which connect the nonunitary realizations with the unitary ones, are gained by solving the corresponding unitarization equations. As applications, the dynamical symmetry of the Kepler system in a two-dimensional curved space is studied and the phase operators of the Higgs algebra is constructed.
No associations
LandOfFree
Two-boson realizations of the Higgs algebra and some applications 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 Two-boson realizations of the Higgs algebra and some applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-boson realizations of the Higgs algebra and some applications will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-643960