Exact, convergent periodic-orbit expansions of individual energy eigenvalues of regular quantum graphs.
We present exact, explicit, convergent periodic-orbit expansions for individual energy levels of regular quantum graphs in the paper. One simple application is the energy levels of a particle in a piecewise constant potential. Since the classical ray trajectories (including ray splitting) in such systems are strongly chaotic, this result provides an explicit quantization of a classically chaotic system.
Blümel
R
R
Department of Physics, Wesleyan University, Middletown, Connecticut 06459-0155, USA.
Dabaghian
Y
Y
Jensen
R V
RV