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

ISSN: 1578-7303

Argitalpen urtea: 2001

Alea: 95

Zenbakia: 2

Orrialdeak: 259-278

Mota: Artikulua

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

Laburpena

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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