Regensburg 2010 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 6: Poster Session I
DY 6.9: Poster
Montag, 22. März 2010, 16:00–18:00, Poster B2
Spin dynamics: quantum master equation in phase space for a spin in a uniform external field — •Bernard P.J. Mulligan1, William T. Coffey2, Yuri P. Kalmykov3, and Serguey V. Titov4 — 1Max Planck Institute for the Physics of Complex Systems, Dresden, Germany — 2Trinity College Dublin, Ireland — 3Universite de Perpignan, France — 4Russian Academy of Sciences, Russia
The dynamics of a quantum spin in an external field is presented in the representation (phase) space of polar and azimuthal angles via a master equation for the quasiprobability distribution of spin orientations, allowing the averages of quantum mechanical spin operators to be calculated just as the classical case from the Weyl Symbol of the operator. The phase space master equation has essentially the same form as the classical Fokker-Planck equation, allowing existing solution methods (matrix continued fractions, integral relaxation times, etc.) to be used.