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Mathematisches Kolloquium: Prof. Dr. Caroline Lasser (TU München), Thema: "Mesh-free gaussians for the time-dependent Schroedinger equation"

Veranstalter: Hörsaal D2

Abstract: The time-dependent Schroedinger equation governs molecular quantums dynamics and, in particular, the interaction of light with molecules. The resulting dynamics are truely out-of-equilibrium and ask for very flexible numerical methods. We discuss the mathematics of the time dependent Dirac--Frenkel principle for this application, analyse its geometric properties and address the notorious ill-conditioning for variational gaussians, that occasionally become linearly dependent. The presented results are joint work with C. Lubich, T. Pedersen, S. Kvaal, and L. Adamowicz. "