Spectra of Regular Quantum Graphs
- Author(s): Dabaghian, Yuri A
- et al.
Published Web Locationhttp://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JTPHES000094000006001201000001&idtype=cvips&gifs=yes
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