From the Hartree Dynamics to the Vlasov Equation

Author:

Benedikter Niels,Porta Marcello,Saffirio Chiara,Schlein Benjamin

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Reference21 articles.

1. Amour L., Khodja M., Nourrigat J.: The semiclassical limit of the time dependent Hartree–Fock equation: the Weyl symbol of the solution. Anal. PDE 6(7), 1649–1674 (2013)

2. Amour L., Khodja M., Nourrigat J.: The classical limit of the Heisenberg and time dependent Hartree–Fock equations: the Wick symbol of the solution. Math. Res. Lett. 20(1), 119–139 (2013)

3. Athanassoulis A., Paul T., Pezzotti F., Pulvirenti M.: Strong semiclassical approximation of Wigner functions for the Hartree dynamics. Rend. Lincei Mat. Appl. 22, 525–552 (2011)

4. Bach, V., Breteaux, S., Petrat, S., Pickl, P., Tzaneteas, T.: Kinetic energy estimates for the accuracy of the time-dependent Hartree–Fock approximation with Coulomb interaction (preprint). arXiv:1403.1488

5. Bardos C., Golse F., Gottlieb A.D., Mauser N.J.: Mean field dynamics of fermions and the time-dependent Hartree–Fock equation. J. Math. Pures Appl. (9) 82(6), 665–683 (2003)

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