Abstract
We show that the quantum star graphs, with added potentials on some of graph lines and with suitable choice of the connection condition at the graph node, can be made into spectral branching filters whose properties is controllable through the tuning of the strength of the potentials.
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Cheon, T. (2014). Quantum Graph and Quantum Filter. In: Matrasulov, D., Stanley, H. (eds) Nonlinear Phenomena in Complex Systems: From Nano to Macro Scale. NATO Science for Peace and Security Series C: Environmental Security. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-8704-8_13
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DOI: https://doi.org/10.1007/978-94-017-8704-8_13
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