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

A. Selberg; H. Bohr; H. Friedrich; H. Schanz; J. Guckenheimer; K.G. Anderson; L. Couchman; L. Sirko; M. Kuś; M.C. Gutzwiller; M.C. Gutzwiller; M.C. Gutzwiller; M.C. Gutzwiller; M.C. Gutzwiller; R. Artuso; R. Artuso; R. Blümel; R. Blümel; R. Blümel; R. Blümel; R. V. Jensen; R.E. Prange; T. Kottos; T. Kottos; Y. Dabaghian; Y.C. Lai

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

Authors: A. Selberg
H. Bohr
H. Friedrich
H. Schanz
J. Guckenheimer
K.G. Anderson
L. Couchman
L. Sirko
M. Kuś
M.C. Gutzwiller
M.C. Gutzwiller
M.C. Gutzwiller
M.C. Gutzwiller
M.C. Gutzwiller
R. Artuso
R. Artuso
R. Blümel
R. Blümel
R. Blümel
R. Blümel
R. V. Jensen
R.E. Prange
T. Kottos
T. Kottos
Y. Dabaghian
Y.C. Lai
Publication date: 1 January 2001
Publisher: 'American Physical Society (APS)'
Doi

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.Comment: 14 pages, 3 figure

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