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Open Access Publications from the University of California

Exact, convergent periodic-orbit expansions of individual energy eigenvalues of regular quantum graphs.

  • Author(s): Blümel, R
  • Dabaghian, Y
  • Jensen, R V
  • et al.

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.

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