title: Exact, convergent periodic-orbit expansions of individual energy eigenvalues of regular quantum graphs.
abstract: 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.
authors: Department of Physics, Wesleyan University, Middletown, Connecticut 06459-0155, USA.
authors: R
authors: R
authors: Blümel
authors: Y
authors: Y
authors: Dabaghian
authors: R V
authors: RV
authors: Jensen