Four-dimensional Hall mechanics as a particle on $\DC P^3$
Bellucci, Stefano ; Casteill, Pierre-Yves ; Nersessian, Armen
arXiv, 0306277 / Harvested from arXiv
Text on arXiv
In order to establish an explicit connection between four-dimensional Hall effect on $S^4$ and six-dimensional Hall effect on $\DC P^3$, we perform the Hamiltonian reduction of a particle moving on $\DC P^3$ in a constant magnetic field to the four-dimensional Hall mechanics (i.e. a particle on $S^4$ in a SU(2) instanton field). This reduction corresponds to fixing the isospin of the latter system.
Publié le : 2003-06-27
Classification:  High Energy Physics - Theory,  Condensed Matter - Mesoscale and Nanoscale Physics,  Mathematical Physics,  Quantum Physics 
@article{0306277,
     author = {Bellucci, Stefano and Casteill, Pierre-Yves and Nersessian, Armen},
     title = {Four-dimensional Hall mechanics as a particle on $\DC P^3$},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0306277}
}

Bellucci, Stefano; Casteill, Pierre-Yves; Nersessian, Armen. Four-dimensional Hall mechanics as a particle on $\DC P^3$. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0306277/