English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

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 theoremWe study an Helium atom (composed of one nucleus and two electrons) sub mitted 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 Schr¨ nger equation  odi  with semi-group techniques and a Schauder fixed point theorem

Existence and Regularity of the Solution of a Time Dependent Hartree-Fock Equation Coupled with a Classical Nuclear Dynamics