Diagrammatic expansion of the Casimir energy in multiple reflections: Theory and applications
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Maghrebi-2011-Diagrammatic expansi.pdf
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Author(s)
Faghfoor Maghrebi, Mohammad
Date Issued
February 2011
Journal
Physical Review D
Publisher
American Physical Society
Citation
Maghrebi, Mohammad F. “Diagrammatic Expansion of the Casimir Energy in Multiple Reflections: Theory and Applications.” Physical Review D 83.4 (2011) : 045004. © 2011 American Physical Society
Version
Final published version
Abstract
We develop a diagrammatic representation of the Casimir energy of a multibody configuration. The diagrams represent multiple reflections between the objects and can be organized by a few simple rules. The lowest-order diagrams (or reflections) give the main contribution to the Casimir interaction which proves the usefulness of this expansion. Among some applications of this, we find analytical formulae describing the interaction between edges, i.e. semi-infinite plates, where we also give a first example of blocking in the context of the Casimir energy. We also find the interaction of edges with a needle and describe analytically a recent model of the repulsion due to the Casimir interaction.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.83.045004
