On the SU(2) Wigner function dynamics
A. B. Klimov and S. M. Chumakov
Departamento de Física, Universidad de Guadalajara Revolución 1500, 44420, Guadalajara, Jalisco, México.
Recibido el 14 de diciembre de 2001. ]]> Aceptado el 10 de junio de 2002.
Abstract
We study the quantum dynamics of the SU (2) quasiprobability distribution ("Wigner function") for the simple nonlinear Hamiltonian (finite analog of the Kerr medium, H = S2z). The quasiclassical approximation for the Wigner function and the corresponding evolution of mean values are considered and compared with the exact and classical solutions.
Keywords: Wigner function; quasiclassical approximation.
Resumen
Se estudia la dinámica cuántica de la función de distribución de cuasiprobabilidad del grupo SU(2) (función de Wigner) para un simple hamiltoniano no lineal (el análogo finito del medio de Kerr H = S2z ). Se consideran la aproximación cuasiclásica para la función de Wigner y la evolución correspondiente de los valores medios. Se comparan las soluciones exacta, clásica y cuasiclásica.
Descriptores: Función de Wigner; aproximación cuasiclásica.
]]> PACS: 03.65.Bz; 42.50.Fx
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