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

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

2001-07-18

arxiv.org/abs/quant-ph/0107094v1

Phys. Rev. E {\bf 63}, 066201 (2001)

Physics

Quantum Physics

14 pages, 3 figures

Scientific paper

10.1103/PhysRevE.63.066201

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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