The Casimir energy as a trace

Alexander Strohmaier (U Leeds)

Nov 08. 2022, 09:00 — 09:45

This is in parts a survey talk about several recent results that relate the Casimir effect to spectral geometry and microlocal analysis. I will explain how the Casimir energy can be defined as the trace of an operator without the need for regularisation procedures. I will then give various recent results that allow to compute these quantities in terms of determinants of boundary layer operators in various geometric situations. If there is time I will also give some relations to wave-trace invariants.

(based on joint work with T. Betcke, F. Hanisch, Y.L. Fang, X. Sun, A. Waters)

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Spectral Theory of Differential Operators in Quantum Theory (Workshop)
Jussi Behrndt (TU Graz)
Fritz Gesztesy (Baylor U, Waco)
Ari Laptev (Imperial College London)
Christiane Tretter (U Bern)