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nlin.CD2003
Universal spectral statistics in Wigner-Dyson, chiral and Andreev star graphs II: semiclassical approach
Sven Gnutzmann, Burkhard Seif
A semiclassical approach to the universal ergodic spectral statistics in quantum star graphs is presented for all known ten symmetry classes of quantum systems. The approach is bas…
nlin.CD2003
Universal spectral statistics in Wigner-Dyson, chiral and Andreev star graphs I: construction and numerical results
Sven Gnutzmann, Burkhard Seif
In a series of two papers we investigate the universal spectral statistics of chaotic quantum systems in the ten known symmetry classes of quantum mechanics. In this first paper we…
nlin.CD2003
Nodal domains on quantum graphs
Sven Gnutzmann, Uzy Smilansky, Joachim Weber
We consider the real eigenfunctions of the Schrödinger operator on graphs, and count their nodal domains. The number of nodal domains fluctuates within an interval whose size equal…