3 papers
math.NA2026
A space-time variational formulation for the many-body electronic Schr{ö}dinger evolution equation
Mi-Song Dupuy, Virginie Ehrlacher, Clément Guillot
We prove in this paper that the solution of the time-dependent Schr{ö}dinger equation can be expressed as the solution of a global space-time quadratic minimization problem that i…
math.AP2025
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…
math.OC2024
Comparison between tensor methods and neural networks in electronic structure calculations
Mathias Dus, Geneviève Dusson, Virginie Ehrlacher +2
This article compares the tensor method density matrix renormalization group (DMRG) with two neural network based methods -namely FermiNet and PauliNet) for determining the ground…