Abstract
The propagation of the Wigner distribution function by means of the Wigner-Liouville equation has been investigated as a method for time-dependent simulations of quantum mechanical systems. Two implementations have been studied: the first is a grid method employing the fast Fourier transform to propagate the discretised distribution function; the second - which is only valid for non-negative distribution functions - is based on the generation of trajectories by a stochastic equation of motion. Results for one-dimensional systems show the first method to be viable and accurate, while the stochastic method is reasonably accurate for a limited period.
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