Phys. Rev. E 63, 066201 (2001) [6 pages]Exact trace formulas for a class of one-dimensional ray-splitting systemsReceived 7 September 2000; published 10 May 2001 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. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.63.066201
DOI:
10.1103/PhysRevE.63.066201
PACS:
05.45.-a, 03.65.Sq, 72.15.Rn
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