# Fulop-Tsutsui interactions on quantum graphs

Authors
Type
Published Article
Publication Date
Aug 30, 2010
Submission Date
Jun 30, 2010
Identifiers
DOI: 10.1016/j.physleta.2010.08.053
Source
arXiv
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.