The Wigner function associated with the Rogers-Szego polynomials
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Mizrahi, S. S.
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Iop Publishing Ltd
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.
Journal of Physics A-mathematical and General. Bristol: Iop Publishing Ltd, v. 37, n. 50, p. L643-L648, 2004.