Exact, convergent periodic-orbit expansions of individual energy eigenvalues of regular quantum graphs.
- Author(s): Blümel, R
- Dabaghian, Y
- Jensen, R V
- et al.
Published Web Locationhttp://prola.aps.org/abstract/PRE/v65/i4/e046222
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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