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Explicit analytical solution for scaling quantum graphs
1Department of Physics, Wesleyan University, Middletown, CT 06459-0155, USA. ydabaghian@wesleyan.edu
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 20, 2003
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.