PARTICLE VORTEX DYNAMICS IN NONCOMMUTATIVE SPACE

CORREA DIEGO; GUSTAVO S LOZANO; ENRIQUE MORENO; FIDEL A SCHAPOSNIK

JOURNAL OF HIGH ENERGY PHYSICS

SPRINGER

Lugar: Berlin; Año: 2001 vol. 0011 p. 1 - 4

1126-6708

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 θ→0 we recover the two classes of states found in ordinary space, relevant for the study of anyon physics.