Exact trace formulas for a class of one-dimensional ray-splitting systems.
Using quantum graph theory we establish that the ray-splitting trace formula proposed by Couchman et al. [Phys. Rev. A 46, 6193 (1992)] is exact for a class of one-dimensional ray-splitting systems. Important applications in combinatorics are suggested.
Dabaghian
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Y
Department of Physics, Wesleyan University, Middletown, Connecticut 06459-0155, USA.
Jensen
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RV
Blümel
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R