Exact trace formulae for a class of one-dimensional ray-splitting systems
arXiv:quant-ph/0107094 · doi:10.1103/PhysRevE.63.066201
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.
14 pages, 3 figures
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