Van der Waals Force in Pseudo-Relativistic Molecules
Spectral Methods in Mathematical Physics
04 April 14:00 - 15:00
Semjon Wugalter - Karlsruhe Institute of Technology
The Van der Waals force between atoms and molecules plays an important role in chemistry, physics and biology. It explains different processes and phenomena from condensation of water up to shapes of gigantic molecules such as proteins and DNA.
Mathematically rigorous computation of the Van der Waals interaction energy was given recently by I. Anapolitanos and I.M. Sigal for non-relativistic Schrödinger operators. In the talk, applying a different method, this result will be extended to operators with pseudo-relativistic kinetic energy. In addition to this extension in both relativistic and non-relativistic cases we compute higher order corrections to the Van der Waals-London law.
The talk is based on a joint work with J.-M. Barbaroux, M. Hartig and D. Hundertmark.
University of Zurich, UZH