Noncommutative Landau problem for particle-vortex system

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

Universidad Simón Bolivar, Caracas, Venezuela

Congreso; III Congreso de la Sociedad Venezolana de Física; 2001

Sociedad Venezolana de Física

We study the problem of a charged particle in the presence of a uniform magnetic field plus a vortex in a noncommutative plane considering two non-commutative extensions of the corresponding Hamiltonian, namely fundamental and antifundamental representations. Using aFock 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 0 we recover the two classes of states found in ordinary space, relevant for the study of anyon physics.