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Phys. Rev. E 68, 055201(R) (2003) [4 pages]

Explicit analytical solution for scaling quantum graphs

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Yu. Dabaghian* and R. Blümel
Department of Physics, Wesleyan University, Middletown, Connecticut 06459-0155, USA

Received 3 January 2003; revised 21 April 2003; published 20 November 2003

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.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.68.055201
DOI:
10.1103/PhysRevE.68.055201
PACS:
05.45.Mt, 03.65.Sq

*Email address: ydabaghian@wesleyan.edu