Second Hopf map and Yang-Coulomb system on 5d (pseudo)sphere
| Autor: | Bellucci, Stefano, Toppan, Francesco, Yeghikyan, Vahagn |
|---|---|
| Rok vydání: | 2009 |
| Předmět: | |
| Zdroj: | J.Phys.A43:045205,2010 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1751-8113/43/4/045205 |
| Popis: | 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. Comment: 10 pages, PACS: 03.65.-w, 02.30.Ik, 14.80.Hv |
| Databáze: | arXiv |
| Externí odkaz: |
|