Geometrical aspects of the Landau-Hall problem on the hyperbolic plane

  1. Antonio López Almorox 1
  2. C. Tejero Prieto 1
  1. 1 Departamento de Matemáticas Universidad de Salamanca
Revista:
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas ( RACSAM )

ISSN: 1578-7303

Any de publicació: 2001

Volum: 95

Número: 2

Pàgines: 259-278

Tipus: Article

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Altres publicacions en: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas ( RACSAM )

Resum

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

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