Statistical Properties of Quantum Graph Spectra
نویسنده
چکیده
Yu. Dabaghian Department of Physiology, Keck Center for Integrative Neuroscience, University of California, San Francisco, California 94143-0444, USA e-mail [email protected] (August 15, 2006) A general analytical approach to the statistical description of quantum graph spectra based on the exact periodic orbit expansions of quantum levels is discussed. The exact and approximate expressions obtained in [5] for the probability distribution functions using the spectral hierarchy method are analyzed. In addition, the mechanism of appearance of the universal statistical properties of spectral fluctuations of quantum-chaotic systems is considered in terms of the semiclassical theory of periodic orbits. 03.65.Sq, 05.45.+b
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