Solution of scaling quantum networks

Details Solution of scaling quantum networks Solution of scaling quantum networks

2003-02-04

arxiv.org/abs/quant-ph/0302035v1

Physics

Quantum Physics

11 pages, 1 figure

Scientific paper

10.1134/1.1591985

We show that all scaling quantum graphs are explicitly integrable, i.e. any
one of their spectral eigenvalues $E_n$ is computable analytically, explicitly,
and individually for any given $n$. This is surprising, since quantum graphs
are excellent models of quantum chaos [see, e.g., T. Kottos and H. Schanz,
Physica E {\bf 9}, 523 (2001)].

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