Geometrical aspects of the Landau-Hall problem on the hyperbolic plane
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Universidad de Salamanca
info
ISSN: 1578-7303
Year of publication: 2001
Volume: 95
Issue: 2
Pages: 259-278
Type: Article
More publications in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas ( RACSAM )
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Abstract
Some geometrical aspects of the classical hyperbolic Landau-Hall problem are discussed. The Lie algebra of infinitesimal symmetries of this problem is explicitly given, turning out that it is isomorphic to so(2, 1) and that its associated Noether invariants are the hyperbolic angular momenta. The Hamiltonian formulation is also given, allowing us to obtain the manifold of orbits of constant energy for this problem using symplectic reduction techniques