Existence and regularity of the solution of a time dependent Hartree-Fock equation coupled with a classical nuclear dynamics.

Baudouin, Lucie. "Existence and regularity of the solution of a time dependent Hartree-Fock equation coupled with a classical nuclear dynamics.." Revista Matemática Complutense 18.2 (2005): 285-314. <http://eudml.org/doc/38167>.

@article{Baudouin2005,
abstract = {We study an Helium atom (composed of one nucleus and two electrons) submitted to a general time dependent electric field, modeled by the Hartree-Fock equation, whose solution is the wave function of the electrons, coupled with the classical Newtonian dynamics, for the position of the nucleus. We prove a result of existence and regularity for the Cauchy problem, where the main ingredients are a preliminary study of the regularity in a nonlinear Schrödinger equation with semi-group techniques and a Schauder fixed point theorem.},
author = {Baudouin, Lucie},
journal = {Revista Matemática Complutense},
keywords = {Ecuación de Hartree-Fock; Función de onda; Dinámica nuclear; Ecuación de Schrödinger; Unicidad; Dinámica clásica; Hartree-Fock equation; classical nuclear dynamics; Cauchy problem},
language = {eng},
number = {2},
pages = {285-314},
title = {Existence and regularity of the solution of a time dependent Hartree-Fock equation coupled with a classical nuclear dynamics.},
url = {http://eudml.org/doc/38167},
volume = {18},
year = {2005},
}

TY - JOUR
AU - Baudouin, Lucie
TI - Existence and regularity of the solution of a time dependent Hartree-Fock equation coupled with a classical nuclear dynamics.
JO - Revista Matemática Complutense
PY - 2005
VL - 18
IS - 2
SP - 285
EP - 314
AB - We study an Helium atom (composed of one nucleus and two electrons) submitted to a general time dependent electric field, modeled by the Hartree-Fock equation, whose solution is the wave function of the electrons, coupled with the classical Newtonian dynamics, for the position of the nucleus. We prove a result of existence and regularity for the Cauchy problem, where the main ingredients are a preliminary study of the regularity in a nonlinear Schrödinger equation with semi-group techniques and a Schauder fixed point theorem.
LA - eng
KW - Ecuación de Hartree-Fock; Función de onda; Dinámica nuclear; Ecuación de Schrödinger; Unicidad; Dinámica clásica; Hartree-Fock equation; classical nuclear dynamics; Cauchy problem
UR - http://eudml.org/doc/38167
ER -