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Solution of Scaling Quantum Networks

Abstract

We show that all scaling quantum graphs are explicitly integrable, i.e., that 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 9, 523 (2001)).

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