Fang, Yan-Long;
Strohmaier, Alexander;
(2022)
A Mathematical Analysis of Casimir Interactions I: The Scalar Field.
Annales Henri Poincaré
, 23
(4)
pp. 1399-1449.
10.1007/s00023-021-01119-z.
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Abstract
Starting from the construction of the free quantum scalar field of mass m ≥ 0, we give mathematically precise and rigorous versions of three different approaches to computing the Casimir forces between compact obstacles. We then prove that they are equivalent.
| Type: | Article |
|---|---|
| Title: | A Mathematical Analysis of Casimir Interactions I: The Scalar Field |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s00023-021-01119-z |
| Publisher version: | https://doi.org/10.1007/s00023-021-01119-z |
| Language: | English |
| Additional information: | This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10181223 |
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