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Exact trace formulae for a class of one-dimensional ray-splitting systems

Y. Dabaghian·R. V. Jensen·R. Blümel
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Abstract

Based on quantum graph theory we establish that the ray-splitting trace formula proposed by Couchman {\it et al.} (Phys. Rev. A {\bf 46}, 6193 (1992)) is exact for a class of one-dimensional ray-splitting systems. Important applications in combinatorics are suggested.

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Y. Dabaghian, R. V. Jensen, R. Blümel. 2001-07-18. Exact trace formulae for a class of one-dimensional ray-splitting systems. https://doi.org/10.1103/physreve.63.066201

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