Abstract
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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From Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 121, No. 6, 2002, pp. 1399–1414.
Original English Text Copyright © 2002 by Dabaghian, Jensen, Blümel.
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Dabaghian, Y., Jensen, R.V. & Blümel, R. Spectra of regular quantum graphs. J. Exp. Theor. Phys. 94, 1201–1215 (2002). https://doi.org/10.1134/1.1493174
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DOI: https://doi.org/10.1134/1.1493174