Article ID Journal Published Year Pages File Type
5023050 Journal of King Saud University - Science 2017 4 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Chemistry Chemistry (General)
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