Abstract
The convergence properties of the multiple reflection expansion for massless scalar and Dirac propagators in a general convex cavity are studied. A sufficient condition for convergence is arrived at and the regions in the complex frequency plane are examined where this condition is satisfied. For the case of a spherical cavity, a necessary and sufficient condition for convergence is obtained by making use of a partial wave expansion for the propagator. The corresponding convergence regions in the complex frequency plane are also determined in more detail.
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