01130nas a2200121 4500008004100000245010300041210006900144260001300213490000700226520071100233100002700944856003700971 2011 eng d00aA diagrammatic expansion of the Casimir energy in multiple reflections: theory and applications
0 adiagrammatic expansion of the Casimir energy in multiple reflect c2011/2/20 v833 a 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.
1 aMaghrebi, Mohammad, F. uhttp://arxiv.org/abs/1012.1060v1