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Exact trace formulas for a class of one-dimensional ray-splitting systems
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http://prola.aps.org/abstract/PRE/v63/i6/e066201Abstract
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.
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