Diagrammatic expansion of the Casimir energy in multiple reflections: Theory and applications

@article{Maghrebi2011DiagrammaticEO,
  title={Diagrammatic expansion of the Casimir energy in multiple reflections: Theory and applications},
  author={Mohammad F. Maghrebi},
  journal={Physical Review D},
  year={2011},
  volume={83},
  pages={045004}
}
  • M. Maghrebi
  • Published 6 December 2010
  • Mathematics, Physics
  • Physical Review D
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… 
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