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A Mathematical Analysis of Casimir Interactions I: The Scalar Field

Name: A Mathematical Analysis of Casimir Interactions I: The Scalar Field
Keywords: Mathematics - Spectral Theory, Mathematics - Analysis of PDEs, 81T55, 58J50, FOS: Mathematics, FOS: Physical sciences, Mathematical Physics (math-ph), Spectral Theory (math.SP), Mathematical Physics, Analysis of PDEs (math.AP)

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 22 Oct 2021Embargo end date: 01 Jan 2021 United Kingdom English Publisher:Springer Science and Business Media LLCJournal:Annales Henri Poincaré, volume 23, pages 1,399-1,449 (issn: 1424-0637, eissn: 1424-0661,

Authors: Yan-Long Fang; Alexander Strohmaier;

doi: 10.1007/s00023-021-01119-z , 10.48550/arxiv.2104.09763

arXiv: http://arxiv.org/abs/2104.09763

A Mathematical Analysis of Casimir Interactions I: The Scalar Field

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Abstract

AbstractStarting from the construction of the free quantum scalar field of mass $$m\ge 0$$ 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.

Country

United Kingdom

Related Organizations

University College London
United Kingdom
University of Leeds
United Kingdom

Keywords

Mathematics - Spectral Theory, Mathematics - Analysis of PDEs, 81T55, 58J50, FOS: Mathematics, FOS: Physical sciences, Mathematical Physics (math-ph), Spectral Theory (math.SP), Mathematical Physics, Analysis of PDEs (math.AP)

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