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Open Access Publications from the University of California

Spectra of Regular Quantum Graphs

  • Author(s): Dabaghian, Yuri A
  • et al.

We consider a class of simple quasi-one-dimensional classically nonintegrable systems that capture the essence of the periodic orbit structure of general hyperbolic nonintegrable dynamical systems. Their behavior is sufficiently simple to allow a detailed investigation of both classical and quantum regimes. Despite their classical chaoticity, these systems exhibit a “nonintegrable analogue” of the Einstein–Brillouin–Keller quantization formula that provides their spectra explicitly, state by state, by means of convergent periodic orbit expansions

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