Statistical properties of resonance widths for open quantum graphs

Autor:	Holger Schanz, Tsampikos Kottos
Rok vydání:	2004
Předmět:	Physics Scattering Quantum graph FOS: Physical sciences General Physics and Astronomy Trapping Statistical physics Chaotic Dynamics (nlin.CD) Nonlinear Sciences - Chaotic Dynamics Random matrix Quantum Graph Expression (mathematics)
Zdroj:	Waves in Random Media. 14:S91-S105
ISSN:	1361-6676 0959-7174
DOI:	10.1088/0959-7174/14/1/013
Popis:	We connect quantum compact graphs with infinite leads, and turn them into scattering systems. We derive an exact expression for the scattering matrix, and explain how it is related to the spectrum of the corresponding closed graph. The resulting expressions allow us to get a clear understanding of the phenomenon of resonance trapping due to over-critical coupling with the leads. Finally, we analyze the statistical properties of the resonance widths and compare our results with the predictions of Random Matrix Theory. Deviations appearing due to the dynamical nature of the system are pointed out and explained. Comment: 17 pages, 7 figures. submitted to Waves in Random Media, special issue for graphs
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::18971038ded98a5d03e9b2892ea0f20f https://doi.org/10.1088/0959-7174/14/1/013 Zobrazit plný text záznamu