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Explicit, analytical solution of scaling quantum graphs

Yu. Dabaghian·R. Blümel
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Abstract

Based on earlier work on regular quantum graphs we show that a large class of scaling quantum graphs with arbitrary topology are explicitly analytically solvable. This is surprising since quantum graphs are excellent models of quantum chaos and quantum chaotic systems are not usually explicitly analytically solvable.

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Yu. Dabaghian, R. Blümel. 2003-01-04. Explicit, analytical solution of scaling quantum graphs. https://doi.org/10.1103/physreve.68.055201

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