Second Hopf map and Yang-Coulomb system on 5d (pseudo)sphere

Details Second Hopf map and Yang-Coulomb system on 5d (pseudo)sphere Second Hopf map and Yang-Coulomb system on 5d (pseudo)sphere

2009-05-21

arxiv.org/abs/0905.3461v1

J.Phys.A43:045205,2010

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, PACS: 03.65.-w, 02.30.Ik, 14.80.Hv

Scientific paper

10.1088/1751-8113/43/4/045205

Using the second Hopf map, we perform the reduction of the eight-dimensional (pseudo)spherical (Higgs)oscillator to a five-dimensional system interacting with a Yang monopole. Then, using a standard trick, we obtain, from the latter system, the pseudospherical and spherical generalizations of the Yang-Coulomb system (the five dimensional analog of MICZ-Kepler system). We present the whole set of its constants of motions, including the hidden symmetry generators given by the analog of Runge-Lenz vector. In the same way, starting from the eight-dimensional anisotropic inharmonic Higgs oscillator, we construct the integrable (pseudo)spherical generalization of the Yang-Coulomb system with the Stark term.

Affiliated with

Also associated with

No associations

Rating

Second Hopf map and Yang-Coulomb system on 5d (pseudo)sphere 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 Second Hopf map and Yang-Coulomb system on 5d (pseudo)sphere, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Second Hopf map and Yang-Coulomb system on 5d (pseudo)sphere will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-444788