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

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

2011-12-28

arxiv.org/abs/1112.6185v1

Physics

Mathematical Physics

Scientific paper

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.

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