 05284 Pavel Exner and Ondrej Turek
 Approximations of permutationsymmetric vertex couplings in quantum graphs
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Aug 23, 05

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Abstract. We consider boundary conditions at the vertex of a star graph
which make Schroedinger operators on the graph selfadjoint, in
particular, the twoparameter family of such conditions invariant
with respect to permutations of graph edges. It is proved that the
corresponding operators can be approximated in the normresolvent
sense by elements of another Schroedinger operator family on the
same graph in which the delta coupling is imposed at the vertex
and an additional point interaction is placed at each edge
provided the coupling parameters are properly chosen.
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