We propose a machine-learning-based approach to develop the exchange-correlation
potential of time-dependent density-functional theory (TDDFT). The neural network …

A precise understanding of mechanisms governing the dynamics of electrons in atoms and
molecules subjected to intense laser fields has a key importance for the description of …

Sequential-in-time methods solve a sequence of training problems to fit nonlinear
parametrizations such as neural networks to approximate solution trajectories of partial …

Deformed explicitly correlated Gaussian (DECG) basis functions are introduced, and their
matrix elements are calculated. All matrix elements can be calculated analytically in a closed …

We propose parabolic wave packets (PWP) as trial functions to solve the time-dependent
Schrödinger equation (TDSE) for atomic hydrogen in a short laser pulse. Within the …

Linear combinations of complex gaussian functions, where the linear and nonlinear
parameters are allowed to vary, are shown to provide an extremely flexible and effective …

The Wigner function provides the expression of phase space dynamics in quantum
mechanics. In an application to non-linear optics, we describe its construction from time …

This thesis is made of three distinct parts. The first one concerns the Vlasov-Poisson system,
for which the convergence of a particle method has been shown. It makes a sort of link …

Free electron laser facilities have sprout all over the world. These light sources can produce
ultrashort pulses, already in the sub-femtosecond regime, with enough intensity to induce …