Geometrical aspects of the Landau-Hall problem on the hyperbolic plane
- 1 Departamento de Matemáticas Universidad de Salamanca
ISSN: 1578-7303
Ano de publicación: 2001
Volume: 95
Número: 2
Páxinas: 259-278
Tipo: Artigo
Outras publicacións en: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas ( RACSAM )
Resumo
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