The software package FELIX (Finite Element soLver for fissIon dynamiX) solves a local time dependent Schrödinger equation in a small and arbitrary dimensional space. $$ i \hbar \frac{\partial}{\partial t} g(\mathbf{q},t)= \left[ -\frac{\hbar^2}{2} \sum_{kl} \frac{1}{\sqrt{\gamma(\mathbf{q})}} \frac{\partial}{\partial q_{k}} \sqrt{\gamma(\mathbf{q})} B_{kl}(\mathbf{q}) \frac{\partial}{\partial q_{l}} + V(\mathbf{q}) \right] \cdot g(\mathbf{q},t) $$

• $ g(\mathbf{q,t}) $ is the unknown wave function
• The quantities $\gamma(\mathbf{q}), B(\mathbf{q})$ et $V(\mathbf{q})$ correspond to a metric, an inertia tensor and a potential. They define the problème to be solved.

Such an equation araises in the context of simulating the dynamics of nuclear fission in a collective space associated to several deformation degrees of freedom. More precisely, this is the resulting equation of motion of the time-dependent generator coordinate method (TDGCM) under the Gaussian overlap approximation.

FELIX-2.0 is an open source code, and you may download it from the Computer Physics Communication code library.