2015/12/31 by Ondřej Turek, Turek, Ondřej
Mathematics · Physics and Astronomy · #81Q35 #81Q93 #81U15 #81U40 #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum and electron transport phenomena #Quantum many-body systems #math-ph #math.MP #msc:81Q35 #msc:81Q93 #msc:81U15 #msc:81U40
paper · pdf · doi:10.48550/arxiv.1512.09366
18 pages, 4 figures
arxiv created 2015/12/31 · openalex publication_date 2015/12/31 · arxiv updated 2016/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We examine transmission through a quantum graph vertex to which auxiliary edges with constant potentials are attached. We find a characterization of vertex couplings for which the transmission probability from a given "input" line to a given "output" line shows a flat passband. The bandwidth is controlled directly by the potential on the auxiliary edges. Vertices with such couplings can thus serve as controllable band-pass filters. The paper extends earlier works on the topic. The result also demonstrates the effectivity of the ST-form of boundary conditions for a study of scattering in quantum graph vertices.