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An approximation to $δ'$ couplings on graphs

arXiv:quant-ph/0404136 · doi:10.1088/0305-4470/37/29/L01

Abstract

We discuss a general parametrization for vertices of quantum graphs and show, in particular, how the $δ'_s$ and $δ'$ coupling at an $n$ edge vertex can be approximated by means of $n+1$ couplings of the $δ$ type provided the latter are properly scaled.

10 pages, LaTeX, 1 figure added, to be published in J. of Phys. A