Spectral filtering in quantum Y-junction

Taksu Cheon; Pavel Exner; Ondrej Turek

doi:10.1143/jpsj.78.124004

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arXiv · 0908.3717

Spectral filtering in quantum Y-junction

Taksu Cheon·Pavel Exner·Ondrej Turek

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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 $δ$ and $δ'$ components in the connection condition between outgoing lines enables the designing of quantum spectral branch-filters.

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Taksu Cheon, Pavel Exner, Ondrej Turek. 2009-08-26. Spectral filtering in quantum Y-junction. https://doi.org/10.1143/jpsj.78.124004

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