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. © 1985.
O’Connell, R. F., & Wang, L. (1985). A new parametrized quantum distribution function and its time development. Physics Letters A, 107(1), 9–12. https://doi.org/10.1016/0375-9601(85)90235-X