Particle-vortex dynamics in noncommutative space

DIEGO H. CORREA; GUSTAVO S. LOZANO; ENRIQUE F. MORENO; FIDEL A. SCHAPOSNIK

JOURNAL OF HIGH ENERGY PHYSICS - (Online)

Institute of Physics

Lugar: Trieste, Italia; Año: 2001 vol. 11 p. 1 - 11

1029-8479

We study the problem of a charged particle in the presence of a uniform magnetic field plus a vortex in noncommutative planar space considering the two possible non-commutative extensions of the corresponding Hamiltonian, namely the ``fundamental´´ and the ``antifundamental´´ representations. Using a Fock space formalism we construct eigenfunctions and eigenvalues finding in each case half of the states existing in the ordinary space case. In the limit of theta going to we recover the two classes of states found in ordinary space, relevant for the study of anyon physics.