A new fast numerical method for the generalized Rosen-Zener model

C Bonhomme, S Pozza, N Van Buggenhout - arXiv preprint arXiv …, 2023 - arxiv.org
In quantum mechanics, the Rosen-Zener model represents a two-level quantum system. Its
generalization to multiple degenerate sets of states leads to larger non-autonomous linear …

[HTML][HTML] A Fréchet Lie group on distributions

M Ryckebusch, PL Giscard - Journal of Mathematical Analysis and …, 2024 - Elsevier
Solving non-autonomous systems of ordinary differential equations leads to consider a new
product of bivariate distributions called the⋆ product in the literature. This product, distinct …

Algebraic Walk Theory

PL Giscard - 2023 - hal.science
While graph theory is a well established field of research in mathematics, there is no
dedicated theory for graph walks. In the present work we show that such a theory is not only …