English

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

Quantum Physics 2016-09-08 v1

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.

Cite

@article{arxiv.quant-ph/0107094,
  title  = {Exact trace formulae for a class of one-dimensional ray-splitting systems},
  author = {Y. Dabaghian and R. V. Jensen and R. Blümel},
  journal= {arXiv preprint arXiv:quant-ph/0107094},
  year   = {2016}
}

Comments

14 pages, 3 figures

R2 v1 2026-07-22T19:31:47.210Z