A charged particle in a magnetic field: a review of two formalisms of coherent states and the Husimi function
Herrera, D; Valencia, A M; Pennini, F; Curilef, S; Herrera, D; Departamento de Física, Universidad Católica del Norte, Av. Angamos 0610, Antofagasta, Chile; Valencia, A M; Departamento de Física, Universidad Católica del Norte, Av. Angamos 0610, Antofagasta, Chile; Pennini, F; Departamento de Física, Universidad Católica del Norte, Av. Angamos 0610, Antofagasta, Chile; Instituto de Física La Plata (CONICET–UNLP), Fac. de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 67, 1900 La Plata, Argentina; Curilef, S; Departamento de Física, Universidad Católica del Norte, Av. Angamos 0610, Antofagasta, Chile; Physics Department, University of Pretoria, Pretoria 0002, South Africa
Журнал:
European Journal of Physics
Дата:
2008-05-01
Аннотация:
In this work, we review two formalisms of coherent states for the case of a particle in a magnetic field. We focus our revision on both pioneering (Feldman and Kahn 1970 Phys. Rev. B 1 4584) and recent (Kowalski and Rembieliński 2005 J. Phys. A: Math. Gen. 38 8247) formulations of coherent states for this problem. We introduce a general application, the Husimi function, which takes into account collective and environmental effects, and which can be derived in a variety of ways. However, we calculate this function as the expected value of the density operator in a basis of coherent states.
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