Abstract
Quantum graph with the Landau operator (Schrodinger operator with a magnetic field) at the edges is considered. The Kirchhoff condition is assumed at the internal vertices. We derive conditions for the graph structure ensuring the completeness of the resonance states on finite subgraphs obtained by cutting all infinite leads of the initial graph. Due to the use of a functional model, the problem reduces to factorization of the characteristic matrix-function. The result is compared with the corresponding completeness theorem for the Schrodinger quantum graph.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
