Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki
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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2003, Volume 77, Issue 9, Pages 629–632 (Mi jetpl2814)  
This article is cited in 6 scientific papers (total in 6 papers)

Solution of scaling quantum networks

Yu. A. Dabaghian, R. Blümel

Department of Physics, Wesleyan University
Full-text PDF (151 kB) Citations (6)
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Abstract: We show that all scaling quantum graphs are explicitly integrable, i.e. any one of their spectral eigenvalues $E_n$ is computable analytically, explicitly, and individually for any given $n$. This is surprising, since quantum graphs are excellent models of quantum chaos (see, e.g., T. Kottos and H. Schanz, Physica E9, 523 (2001)).
Received: 06.02.2003
English version:
Journal of Experimental and Theoretical Physics Letters, 2003, Volume 77, Issue 9, Pages 530–533
DOI: https://doi.org/10.1134/1.1591985
Bibliographic databases:
Document Type: Article
PACS: 05.45.Mt
Language: English
Citation: Yu. A. Dabaghian, R. Blümel, “Solution of scaling quantum networks”, Pis'ma v Zh. Èksper. Teoret. Fiz., 77:9 (2003), 629–632; JETP Letters, 77:9 (2003), 530–533
Citation in format AMSBIB
\Bibitem{DabBlu03}
\by Yu.~A.~Dabaghian, R.~Bl\"umel
\paper Solution of scaling quantum networks
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2003
\vol 77
\issue 9
\pages 629--632
\mathnet{http://mi.mathnet.ru/jetpl2814}
\transl
\jour JETP Letters
\yr 2003
\vol 77
\issue 9
\pages 530--533
\crossref{https://doi.org/10.1134/1.1591985}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-10944256970}
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  • https://www.mathnet.ru/eng/jetpl/v77/i9/p629
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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