Artigo
The Wigner function associated with the Rogers-Szego polynomials
Fecha
2004-12-17Registro en:
Journal of Physics A-mathematical and General. Bristol: Iop Publishing Ltd, v. 37, n. 50, p. L643-L648, 2004.
0305-4470
10.1088/0305-4470/37/50/L01
WOS:000226014400002
Autor
Universidade Estadual Paulista (Unesp)
Universidade Federal de São Carlos (UFSCar)
Resumen
A Wigner function associated with the Rogers-Szego polynomials is proposed and its properties are discussed. It is shown that from such a Wigner function it is possible to obtain well-behaved probability distribution functions for both angle and action variables, defined on the compact support -pi less than or equal to theta < pi, and for m greater than or equal to 0, respectively. The width of the angle probability density is governed by the free parameter q characterizing the polynomials.