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Explicit analytical solution for scaling quantum graphs

Yu. Dabaghian and R. Blümel
Phys. Rev. E 68, 055201(R) – Published 20 November 2003
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Abstract

We show that 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.

  • Received 3 January 2003

DOI:https://doi.org/10.1103/PhysRevE.68.055201

©2003 American Physical Society

Authors & Affiliations

Yu. Dabaghian* and R. Blümel

  • Department of Physics, Wesleyan University, Middletown, Connecticut 06459-0155, USA

  • *Email address: ydabaghian@wesleyan.edu

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Vol. 68, Iss. 5 — November 2003

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