ar X iv : f un ct - a n / 95 09 00 1 v 1 1 S ep 1 99 5 Contact interactions on graph superlattices


We consider a quantum mechanical particle living on a graph and discuss the behaviour of its wavefunction at graph vertices. In addition to the standard (or δ type) boundary conditions with continuous wavefunctions, we investigate two types of a singular coupling which are analogous to the δ interaction and its symmetrized version for particle on a line. We… (More)


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