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quant-ph2001★ 26 cited
Exact, convergent periodic-orbit expansions of individual energy eigenvalues of regular quantum graphs
R. Blümel, Y. Dabaghian, R. V. Jensen
We present exact, explicit, convergent periodic-orbit expansions for individual energy levels of regular quantum graphs. One simple application is the energy levels of a particle i…
quant-ph2001★ 16 cited
Exact trace formulae for a class of one-dimensional ray-splitting systems
Y. Dabaghian, R. V. Jensen, R. Blümel
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-d…