Spectral filtering in quantum Y-junction

Abstract

We examine scattering properties of singular vertex of degree $n=2$ and $n=3$, taking advantage of a new form of representing the vertex boundary condition, which has been devised to approximate a singular vertex with finite potentials. We show that proper identification of $\delta$ and ${\delta }^{\prime }$ components in the connection condition between outgoing lines enables the designing of quantum spectral branch-filters.

RevTeX JPSJ format, 7 pages, 10 figures

References in corpus (1)

• Approximations of singular vertex couplings in quantum graphs

Cited by in corpus (8)

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• Fulop-Tsutsui interactions on quantum graphs
• Tripartite connection condition for quantum graph vertex
• Quantum Reflection and Transmission in Ring Systems with Double Y-Junctions: Occurrence of Perfect Reflection
• Quantum graph vertices with permutation-symmetric scattering probabilities
• Quantum graph as a quantum spectral filter
• Peculiarity of Symmetric Ring Systems with Double Y-Junctions and the magnetic effects
• Scattering entropies of quantum graphs with several channels