Accuracy of the Time-Dependent Hartree-Fock Approximation.

Abstract:

 

We study the time evolution of a system of N spinless fermions in which interact through a pair potential, e.g., the Coulomb potential. We compare the dynamics given by the solution to Schrödinger’s equation with the time-dependent Hartree–Fock approximation, and we give an estimate for the accuracy of this approximation in terms of the kinetic energy of the system. This leads, in turn, to bounds in terms of the initial total energy of the system.

Date: Jul 12, 2018 at 17:00 h
Venue: Sala de Seminarios Felipe Álvarez Daziano, 5to. piso del DIM, U. de Chile, Beauchef 851.
Speaker: Sébastien Breteaux
Affiliation: Université de Lorraine
Coordinator: Hanne Van Den Bosch
Abstract:
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Posted on Jul 5, 2018 in CAPDE, Seminars