P. M. Zhang, P. A. Horvathy
Our previous study of a system of bodies assumed to move along almost
circular orbits and approximately described by Hill's equations, is extended to
"exotic" [alias non-commutative] particles. For a critical value of the angular
velocity, the only allowed motions follow the Hall law. Translations and
generalized boosts span two independent Heisenberg algebras with different
central parameters. In the critical case, the symmetry reduces to a single
Heisenberg algebra.
View original:
http://arxiv.org/abs/1202.5081
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