Trace formula for dielectric cavities: I. General properties

URN to cite this document:: urn:nbn:de:bvb:355-epub-371525
DOI to cite this document:: 10.5283/epub.37152

Bogomolny, E. ; Dubertrand, Rémy

; Schmit, C.

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Date of publication of this fulltext: 23 Apr 2018 12:26

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Abstract

The construction of the trace formula for open dielectric cavities is examined in detail. Using the Krein formula it is shown that the sum over cavity resonances can be written as a sum over classical periodic orbits for the motion inside the cavity. The contribution of each periodic orbit is the product of the two factors. The first is the same as in the standard trace formula and the second is ...