Explicit, analytical solution of scaling quantum graphs

Details Explicit, analytical solution of scaling quantum graphs Explicit, analytical solution of scaling quantum graphs

2003-01-03

arxiv.org/abs/quant-ph/0301003v2

Physics

Quantum Physics

6 pages

Scientific paper

10.1103/PhysRevE.68.055201

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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