A mathematical analysis of Casimir interactions and determinant formulae
Alexander Strohmaier (University of Leeds)
Abstract: I will explain a mathematical treatment of Casimir interactions of perfect conductors in which the Casimir energy is written as the trace of an operator without the need for regularisations. I will also show some consequences of this approach, relations to microlocal analysis, and will prove a trace formula that allows to compute the Casimir energy in terms of determinants of single layer operators. Such formulae have been derived by other methods in the physics literature and we will show that all these approaches give the same well defined Casimir energy.
(Based on joint work with F. Hanisch and A. Waters, as well as numerical work with T. Betcke and X. Sun).
mathematical physics
Audience: researchers in the discipline
One world IAMP mathematical physics seminar
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| Organizers: | Margherita Disertori*, Wojciech Dybalski*, Ian Jauslin, Hal Tasaki* |
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