期刊论文详细信息
Journal of King Saud University: Science
Line with attached segment as a model of Helmholtz resonator: Resonant states completeness
关键词: Quantum graph;    Scattering;    Resonance;   
DOI  :  10.1016/j.jksus.2016.07.004
来源: DOAJ
【 摘 要 】

Quantum graph consisting of a line with attached segment is considered as a simple model of the Helmholtz resonator. Completeness of resonant states in the space of square integrable functions on the segment is proved. Relation between the completeness and the factorization of the characteristic function in Sz.-Nagy model is discussed.

【 授权许可】

Unknown   

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