SPECTRA OF REGULAR QUANTUM GRAPHS
Dabaghian Yu., Jensen R.V., Blumel R.

Received: December 18, 2001

PACS: 05.45.Mt, 03.65.Sq, 02.30.Lt

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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.