We explore the validity of the Vlasov equation as a semi-classical approximation of time-dependent Hartree-Fock and time-dependent LDA theories. We discuss the fi --$ 0 limit for the propagation of quantal wavefunctions in terms of classical densities. The fi --f 0 limit is studied formally by means
The Husimi Representation and the Vlasov Equation
β Scribed by P. Leplattenier; E. Suraud; P.G. Reinhard
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 753 KB
- Volume
- 244
- Category
- Article
- ISSN
- 0003-4916
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β¦ Synopsis
We investigate the (h) expansion of the Time-Dependent Hartree Fock equation in the Wigner and Husimi representations. Both lead formally to the Vlasov equation in lowest order. The Husimi representation delivers a more stable expansion in particular when the selfinteraction in the mean field is considered. The test particle solution of the Vlasov equation turns out to be closely related to the Husimi representation. ' 1995 Academic Press. Inc
π SIMILAR VOLUMES
A new scheme for solving the Vlasov equation using a phase space grid is proposed. The algorithm is based on the conservation of the flux of particles, and the distribution function is reconstructed using various techniques that allow control of spurious oscillations or preservation of the positivit
AND E. Suraud Groupe de Physique ThΓ©orique, Laboratoire de Physique Quantique, UniversitΓ© Paul Sabatier, 118 Route de Narbonne, F-31062 Toulouse, cedex, France, \({ }^{+}\)and Yukawa Institute for Theoretical Physics, Kyoto ΔΉniversity, Kyoto 606, Japan