22 citations · 68 across the 11 of their papers we have counts for
4 papers · 1 filter
Low-complexity approximations with least-squares formulation of the time-dependent Schr{ö}dinger equation
Mi-Song Dupuy, Virginie Ehrlacher, Clément Guillot
We propose new methods designed to numerically approximate the solution to the time dependent Schr{ö}dinger equation, based on two types of ansatz: tensors, and approximation by a…
Linear response and resonances in adiabatic time-dependent density functional theory
Mi-Song Dupuy, Eloïse Letournel, Antoine Levitt
We consider the electrons of a molecule in the adiabatic time-dependent density functional theory approximation. We establish the well-posedness of the time evolution and its linea…
Dissociation limit of the H2 molecule in the particle-hole random phase approximation
Mi-Song Dupuy, Kyle Thicke
In this work, we consider the particle-hole random phase approximation (phRPA), an approximation to the correlation energy in electronic structure, and show that the phRPA energy o…
Finite-size effects in response functions of molecular systems
Mi-Song Dupuy, Antoine Levitt
We consider an electron in a localized potential submitted to a weak external, timedependent field. In the linear response regime, the response function can be computed using Kubo'…