Gluing Formula for Casimir Energies

Klaus Kirsten, Yoonweon Lee
2018 Symmetry  
We provide a completely new perspective for the analysis of Casimir forces in very general piston configurations. To this end, in order to be self-contained, we prove a "gluing formula" well known in mathematics and relate it with Casimir forces in piston configurations. At the center of our description is the Dirichlet-to-Neumann operator, which encodes all the information about those forces. As an application, the results for previously considered piston configurations are reproduced in a
more » ... reproduced in a streamlined fashion.
doi:10.3390/sym10010031 fatcat:ublat3zczzaofguhc4lp7myxwe