Existence and Regularity of the Solution of a Time Dependent Hartree-Fock Equation Coupled with a Classical Nuclear Dynamics
Palabras clave:
Hartree-Fock equation, classical dynamics, regularity, existence, 2000 Mathematics Subject Classification, 35Q40, 35Q55,
Resumen
We study an Helium atom (composed of one nucleus and two electrons) submitted to a general time dependent electric field, mod led 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 Schr¨odinger equation with semi-group techniques and a Schauder fixed point theoremDescargas
Los datos de descargas todavía no están disponibles.
Descarga artículo
Publicado
2005-09-27
Cómo citar
Baudouin L. (2005). Existence and Regularity of the Solution of a Time Dependent Hartree-Fock Equation Coupled with a Classical Nuclear Dynamics. Revista Matemática Complutense, 18(2), 285-314. https://doi.org/10.5209/rev_REMA.2005.v18.n2.16671
Número
Sección
Artículos