Fulop-Tsutsui interactions on quantum graphs |
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Authors: | Taksu Cheon Ond?ej Turek |
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Affiliation: | Laboratory of Physics, Kochi University of Technology, Tosa Yamada, Kochi 782-8502, Japan |
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Abstract: | 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 δ function potentials. |
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Keywords: | Schrö dinger operator Singular vertex Scale invariance Quantum wire |
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