@article{oai:kutarr.kochi-tech.ac.jp:00000203, author = {Cheon, Taksu and Exner, Pavel and Turek, Ondřej}, issue = {6}, journal = {Physical Review A}, month = {Jun}, note = {We demonstrate how the inverse scattering problem of a quantum star graph can be solved by means of diagonalization of the Hermitian unitary matrix when the vertex coupling is of the scale-invariant (or Fülöp-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.}, pages = {062715-1--062715-4}, title = {Inverse scattering problem for quantum graph vertices}, volume = {83}, year = {2011} }