1. Inverse scattering problem of quantum graphs.
- Author
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Cheon, Taksu and Turek, Ondřej
- Subjects
SCATTERING (Physics) ,QUANTUM theory ,GRAPH theory ,MATHEMATICAL invariants ,PARAMETER estimation ,MATHEMATICAL forms ,MATRICES (Mathematics) - Abstract
We show that the inverse scattering problem of a quantum star graph is solvable when the connection condition is given by scale invariant Fulop-Tsutsui form. This turns out to amount to finding a parametrization of Hermitian unitary matrix based on Hermitian diagonalization. Examples of specific inverse scattering problems are examined, that represent uniform and reflectionless scatterings. [ABSTRACT FROM AUTHOR]
- Published
- 2011
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