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The Vlasov equation for Coulomb systems and the Husimi picture

✍ Scribed by A. Domps; P. L'Eplattenier; P. G. Reinhard; E. Suraud

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
764 KB
Volume
509
Category
Article
ISSN
0003-3804

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✦ Synopsis

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 of its Wigner and Husimi phase-space representations. We consider an application to the valence electron cloud of metal clusters and show a comparison between quantal and Vlasov dynamics in this case.

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