Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5023050 | Journal of King Saud University - Science | 2017 | 4 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Chemistry
Chemistry (General)
Authors
I.Y. Popov, A.I. Popov,