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- W2105521836 abstract "We discuss approximations of the vertex coupling on a star-shaped quantum graph of $n$ edges in the singular case when the wave functions are not continuous at the vertex and no edge-permutation symmetry is present. It is shown that the Cheon-Shigehara technique using $delta$ interactions with nonlinearly scaled couplings yields a $2n$-parameter family of boundary conditions in the sense of norm resolvent topology. Moreover, using graphs with additional edges one can approximate the ${n+1choose 2}$-parameter family of all time-reversal invariant couplings." @default.
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- W2105521836 date "2007-07-01" @default.
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- W2105521836 title "APPROXIMATIONS OF SINGULAR VERTEX COUPLINGS IN QUANTUM GRAPHS" @default.
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- W2105521836 doi "https://doi.org/10.1142/s0129055x07003073" @default.
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