Exotic Hill Problem: Hall motions and symmetries

Details Exotic Hill Problem: Hall motions and symmetries Exotic Hill Problem: Hall motions and symmetries

2012-02-23

arxiv.org/abs/1202.5081v2

Physics

High Energy Physics

High Energy Physics - Theory

RevTeX, 4 pages, 4 figures

Scientific paper

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.

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