Physics – Quantum Physics
Scientific paper
2011-04-06
Phys.Rev.A83:062715,2011
Physics
Quantum Physics
ReVTeX, 4 pages, four figures
Scientific paper
10.1103/PhysRevA.83.062715
We demonstrate how the inverse scattering problem of a quantum star graph can be solved by means of diagonalization of Hermitian unitary matrix when the vertex coupling is of the scale invariant (or F\"ul\H{o}p-Tsutsui) form. This enables the construction of quantum graphs with desired properties in a tailor-made fashion. The procedure is illustrated on the example of quantum vertices with equal transmission probabilities.
Cheon Taksu
Exner Pavel
Turek Ondrej
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