Gluing Formula for Casimir Energies
| Autor: | Yoonweon Lee, Klaus Kirsten |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Casimir energies
Physics and Astronomy (miscellaneous) General Mathematics Center (group theory) 01 natural sciences law.invention Piston Perspective (geometry) law 0103 physical sciences Computer Science (miscellaneous) zeta-determinant 0101 mathematics Casimir forces BFK-gluing formula Dirichlet-to-Neumann operator Physics 010308 nuclear & particles physics Operator (physics) lcsh:Mathematics 010102 general mathematics Order (ring theory) lcsh:QA1-939 Physics::Classical Physics Casimir effect Classical mechanics Chemistry (miscellaneous) Condensed Matter::Statistical Mechanics |
| Zdroj: | Symmetry; Volume 10; Issue 1; Pages: 31 Symmetry, Vol 10, Iss 1, p 31 (2018) |
| ISSN: | 2073-8994 |
| DOI: | 10.3390/sym10010031 |
| Popis: | 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 streamlined fashion. |
| Databáze: | OpenAIRE |
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