Semiclassical and quantum motions on the non-commutative plane

We study the canonical and the coherent state quantizations of a particle moving in a magnetic field on the non-commutative plane. Using a theta-modified action, we perform the canonical quantization and analyze the gauge dependence of the theory. We compare coherent states quantizations obtained through Malkin-Man`ko states and circular squeezed states. The relation between these states and the ""classical"" trajectories is investigated, and we present numerical explorations of some semiclassical quantities. (C) 2009 Elsevier B.V. All rights reserved.

FAPESP

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

CNPq

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Comité Français d´Evaluation de la Coopération Universitaire avec le Brésil (COFECUB)

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

CAPES-COFECUB[PH 566/07]