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arXiv · hep-th/0109186

Particle-vortex dynamics in noncommutative space

D. H. Correa·G. S. Lozano·E. F. Moreno·F. A. Schaposnik
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Abstract

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

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D. H. Correa, G. S. Lozano, E. F. Moreno, F. A. Schaposnik. 2001-10-01. Particle-vortex dynamics in noncommutative space. https://doi.org/10.1088/1126-6708%2F2001%2F11%2F034

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