A mathematical analysis of Casimir interactions I: The scalar field
Mathematical Physics
2022-04-27 v4 Analysis of PDEs
math.MP
Spectral Theory
Abstract
Starting from the construction of the free quantum scalar field of mass 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.
Cite
@article{arxiv.2104.09763,
title = {A mathematical analysis of Casimir interactions I: The scalar field},
author = {Yan-Long Fang and Alexander Strohmaier},
journal= {arXiv preprint arXiv:2104.09763},
year = {2022}
}
Comments
41 pages, 2 figures, LaTeX, more details added, typos corrected, references added