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

ISSN: 1578-7303

Datum der Publikation: 2001

Ausgabe: 95

Nummer: 2

Seiten: 259-278

Art: Artikel

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Andere Publikationen in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas ( RACSAM )

Zusammenfassung

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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