Artículos de revistas
Coherent states of a particle in a magnetic field and the Stieltjes moment problem
Fecha
2009Registro en:
PHYSICS LETTERS A, v.373, n.22, p.1916-1920, 2009
0375-9601
10.1016/j.physleta.2009.03.061
Autor
Gazeau, Jean Pierre Marie Eugéne
Baldiotti, Mário César
Guitman, Dmitri Maximovitch
Institución
Resumen
A solution to a version of the Stieltjes moment. problem is presented. Using this solution, we construct a family of coherent states of a charged particle in a uniform magnetic field. We prove that these states form an overcomplete set that is normalized and resolves the unity. By the help of these coherent states we construct the Fock-Bergmann representation related to the particle quantization. This quantization procedure takes into account a circle topology of the classical motion. (C) 2009 Elsevier B.V. All rights reserved.