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A new parametrized quantum distribution function and its time development
Authors:RF O&#x;Connell  Lipo Wang
Institution:Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803, USA
Abstract:We discuss a new general class of quantum distribution functions characterized by an arbitrary parameter b. The values b = -1, 0, 1 correspond to the anti-standard (Kirkwood), the Wigner, and the standard distribution functions, respectively. An analytic form of the equation of motion is derived. We conclude that, for time-dependent problems involving a potential which is a function of coordinates only, the Wigner distribution function is the optimum one to use, from a simplicity standpoint.
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