## Abstract We explore from a numerical point of view the validity of the Vlasov equation as a semiโclassical approximation of timeโdependent HartreeโFock and timeโdependent LDA theories, in terms of the survival of the Pauli principle. The fermionic properties are investigated by using a Na~9~^+^
Fermionic Vlasov Propagation for Coulomb Interacting Systems
โ Scribed by A Domps; P.-G Reinhard; E Suraud
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 348 KB
- Volume
- 260
- Category
- Article
- ISSN
- 0003-4916
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โฆ Synopsis
The Fermi Vlasov scheme, recently introduced in nuclear physics, is extended to systems of electrons. We show that the Thomas Fermi ground state of a fermionic system remains stable under phase-space propagation. Dynamical situations are investigated with the plasmon response of metal clusters as test case. The Fermi Vlasov scheme provides the physical relaxation towards a final Fermi equilibrium while maintaining the appropriate dynamical features.
๐ SIMILAR VOLUMES
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 propagator of the spinless Aharonov Bohm Coulomb system is derived by following the Duru Kleinert method. We use this propagator to explore the spin-1ร2 Aharonov Bohm Coulomb system which contains a point interaction as a Zeeman term. Incorporation of the self-adjoint extension method into the G
Standard methods for calculating Coulomb interactions of periodic systems use Ewald-type formulations or minimum image approximations, neither of which is practical for large (million-atom) systems. We describe the reduced cell multipole method which is 38 times faster than the Ewald method for a 48