arXiv subjects

Mohamed Khodja

Publications and source records attributed to Mohamed Khodja.

2 recordsLinked to original sources

arXiv2011

The semi-classical limit of the time dependent Hartree-Fock equation. II. The Wick symbol of the solution

We study the Wick symbol of a solution of the time dependent Hartree Fock equation, under weaker hypotheses than those needed for the Weyl symbol in the first paper with thesame title. With similar, we prove some kind of Ehrenfest theorem for observables that are not pseudo-differential operators.

math-ph↗

arXiv2011

The classical limit of the time dependent Hartree-Fock equation. I. The Weyl symbol of the solution

We study the time evolution of the Weyl symbol of a solution of the time dependent Hartree Fock equation, assuming that for t=0, it has a Weyl symbol which is integrable in the phase space, such as all its derivatives. We prove that the solution has the same property for all t, and we give an asymptotic expansion, in L1 sense, of this Weyl symbol.

math-ph↗