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Inverse scattering problem for quantum graph vertices
- 1.0365421 - ÚJF 2012 RIV US eng J - Journal Article
Cheon, T. - Exner, Pavel - Turek, O.
Inverse scattering problem for quantum graph vertices.
Physical Review. A. Roč. 83, č. 6 (2011), 062715/1-062715/4. ISSN 1050-2947
R&D Projects: GA MŠMT LC06002; GA ČR GAP203/11/0701
Institutional research plan: CEZ:AV0Z10480505
Keywords : WIRES
Subject RIV: BH - Optics, Masers, Lasers
Impact factor: 2.878, year: 2011
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 Fulop-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
Permanent Link: http://hdl.handle.net/11104/0200666
Number of the records: 1