학술논문

Semiclassical and quantum motions on the non-commutative plane
Document Type
Academic Journal
Source
Physics Letters A. Oct 19, 2009, Vol. 373 Issue 43, p3937, 7 p.
Subject
Magnetic fields -- Analysis
Language
English
ISSN
0375-9601
Abstract
To link to full-text access for this article, visit this link: http://dx.doi.org/10.1016/j.physleta.2009.08.059 Byline: M.C. Baldiotti, J.P. Gazeau, D.M. Gitman Keywords: Non-commutative Landau problem; Non-commutative particles dynamics; Coherent states Abstract: We study the canonical and the coherent state quantizations of a particle moving in a magnetic field on the non-commutative plane. Using a I[cedilla]-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. Author Affiliation: Instituto de Fisica, Universidade de Sao Paulo, Caixa Postal 66318-CEP, 05315-970 Sao Paulo, S.P., Brazil Article History: Received 15 June 2009; Revised 20 August 2009; Accepted 24 August 2009 Article Note: (miscellaneous) Communicated by P.R. Holland