Gluing Formula for Casimir Energies
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 descrip...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2018-01-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | http://www.mdpi.com/2073-8994/10/1/31 |
| _version_ | 1798025606804275200 |
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| author | Klaus Kirsten Yoonweon Lee |
| author_facet | Klaus Kirsten Yoonweon Lee |
| author_sort | Klaus Kirsten |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T18:21:37Z |
| format | Article |
| id | doaj.art-faa9b3b6a9a2464f89b8d9a91087265c |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T18:21:37Z |
| publishDate | 2018-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-faa9b3b6a9a2464f89b8d9a91087265c2022-12-22T04:09:46ZengMDPI AGSymmetry2073-89942018-01-011013110.3390/sym10010031sym10010031Gluing Formula for Casimir EnergiesKlaus Kirsten0Yoonweon Lee1Department of Mathematics, Baylor University, Waco, TX 76796, USADepartment of Mathematics, Inha University, Incheon 402-751, KoreaWe 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.http://www.mdpi.com/2073-8994/10/1/31Casimir energiesCasimir forcesBFK-gluing formulazeta-determinantDirichlet-to-Neumann operator |
| spellingShingle | Klaus Kirsten Yoonweon Lee Gluing Formula for Casimir Energies Symmetry Casimir energies Casimir forces BFK-gluing formula zeta-determinant Dirichlet-to-Neumann operator |
| title | Gluing Formula for Casimir Energies |
| title_full | Gluing Formula for Casimir Energies |
| title_fullStr | Gluing Formula for Casimir Energies |
| title_full_unstemmed | Gluing Formula for Casimir Energies |
| title_short | Gluing Formula for Casimir Energies |
| title_sort | gluing formula for casimir energies |
| topic | Casimir energies Casimir forces BFK-gluing formula zeta-determinant Dirichlet-to-Neumann operator |
| url | http://www.mdpi.com/2073-8994/10/1/31 |
| work_keys_str_mv | AT klauskirsten gluingformulaforcasimirenergies AT yoonweonlee gluingformulaforcasimirenergies |