| DATE: |
2014-04-30 15:00 - 16:00 |
| PLACE: |
Kenkyu Honkan 3F RM 322 |
| TITLE: |
Quantum graph vertices with minimal number of passbands |
| CONTACT: |
Tatsuya Morita, moritata-AT-post.kek.jp |
| SPEAKER: |
Dr. Poghosyan Sergey (Kochi University of Technology) |
| LANGUAGE: |
English |
| ABSTRACT: |
We study a set of scattering matrices of quantum graphs containing minimal number of pass- bands, i.e., maximal number of zero elements. The cases of even and odd vertex degree are considered. Using a solution of inverse scattering problem, we reconstruct boundary conditions of scale-invariant vertex couplings. Potential-controlled universal flat filtering properties are found for considered types of vertex couplings. Obtained boundary conditions are approximated by simple graphs carrying only N4 potentials and inner magnetic field. |
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