Exotic Hill Problem: Hall motions and symmetries
arXiv:1202.5081 · doi:10.1103/PhysRevD.85.107701
Abstract
Our previous study of a system of bodies assumed to move along almost circular orbits around a central mass, approximately described by Hill's equations, is extended to "exotic" [alias non-commutative] particles. For a certain 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.
RevTeX, 4 pages, 4 figures
References in corpus (6)
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