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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2001, Volume 74, Issue 4, Pages 258–262 (Mi jetpl4196)  
This article is cited in 15 scientific papers (total in 15 papers)

METHODS OF THEORETICAL PHYSICS

One-dimensional quantum chaos: Explicitly solvable cases

Yu. A. Dabaghian, R. V. Jensen, R. Blümel

Department of Physics, Wesleyan University
Full-text PDF (341 kB) Citations (15)
Abstract: We present quantum graphs with remarkably regular spectral characteristics. We call them regular quantum graphs. Although regular quantum graphs are strongly chaotic in the classical limit, their quantum spectra are explicitly solvable in terms of periodic orbits. We present analytical solutions for the spectrum of regular quantum graphs in the form of explicit and exact periodic orbit expansions for each individual energy level.
Received: 09.07.2001
English version:
Journal of Experimental and Theoretical Physics Letters, 2001, Volume 74, Issue 4, Pages 235–239
DOI: https://doi.org/10.1134/1.1413563
Bibliographic databases:
Document Type: Article
PACS: 05.45.Mt, 03.65.Sq
Language: English
Citation: Yu. A. Dabaghian, R. V. Jensen, R. Blümel, “One-dimensional quantum chaos: Explicitly solvable cases”, Pis'ma v Zh. Èksper. Teoret. Fiz., 74:4 (2001), 258–262; JETP Letters, 74:4 (2001), 235–239
Citation in format AMSBIB
\Bibitem{DabJenBlu01}
\by Yu.~A.~Dabaghian, R.~V.~Jensen, R.~Bl\"umel
\paper One-dimensional quantum chaos: Explicitly solvable cases
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2001
\vol 74
\issue 4
\pages 258--262
\mathnet{http://mi.mathnet.ru/jetpl4196}
\transl
\jour JETP Letters
\yr 2001
\vol 74
\issue 4
\pages 235--239
\crossref{https://doi.org/10.1134/1.1413563}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0001742424}
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  • https://www.mathnet.ru/eng/jetpl/v74/i4/p258
    • This publication is cited in the following 15 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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