Stability and accuracy of a pseudospectral scheme for the Wigner function equation
Abstract
A pseudospectral scheme with centred time-differencing for solving the Wigner function equation is investigated. Stability, second-order accuracy in time, and spectral accuracy in space are proved for the Wigner function equation with a potential in a periodic setting. In addition, normalization and energy conservation properties, and Ehrenfest's theorem are discussed. Numerical experiments are presented to validate the theoretical results.
Domains
Mathematics [math]
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