Fulop-Tsutsui interactions on quantum graphs

Details Fulop-Tsutsui interactions on quantum graphs Fulop-Tsutsui interactions on quantum graphs

2010-06-30

arxiv.org/abs/1006.5852v2

Physics Letters A374:4212-4221, 2010

Physics

Mathematical Physics

14 pages elsevier format, new references added

Scientific paper

10.1016/j.physleta.2010.08.053

We examine scale invariant Fulop-Tsutsui couplings in a quantum vertex of a general degree $n$. We demonstrate that essentially same scattering amplitudes as for the free coupling can be achieved for two $(n-1)$-parameter Fulop-Tsutsui subfamilies if $n$ is odd, and for three $(n-1)$-parameter Fulop-Tsutsui subfamilies if $n$ is even. We also work up an approximation scheme for a general Fulop-Tsutsui vertex, using only $n$ $\delta$ function potentials.

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