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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 300, Pages 221–227 (Mi znsl1013)  
Violation of symmetry in the system of three laterally coupled quantum waveguides and resonance asymptotics

I. Yu. Popov, S. V. Frolov

St. Petersburg State University of Information Technologies, Mechanics and Optics
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Abstract: The system of three two-dimensional laterally coupled quantum waveguides with the Dirichlet boundary condition is considered. Violation of geometrical symmetry is studied. The behaviour of the resonance asymptotics and the transition “eigenvalue – resonance” are investigated.
Received: 30.11.2002
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 128, Issue 2, Pages 2807–2811
DOI: https://doi.org/10.1007/s10958-005-0236-6
Bibliographic databases:
UDC: 517.9
Language: English
Citation: I. Yu. Popov, S. V. Frolov, “Violation of symmetry in the system of three laterally coupled quantum waveguides and resonance asymptotics”, Representation theory, dynamical systems. Part VIII, Special issue, Zap. Nauchn. Sem. POMI, 300, POMI, St. Petersburg, 2003, 221–227; J. Math. Sci. (N. Y.), 128:2 (2005), 2807–2811
Citation in format AMSBIB
\Bibitem{PopFro03}
\by I.~Yu.~Popov, S.~V.~Frolov
\paper Violation of symmetry in the system of three laterally coupled quantum waveguides and resonance asymptotics
\inbook Representation theory, dynamical systems. Part~VIII
\bookinfo Special issue
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 300
\pages 221--227
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1013}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1995362}
\zmath{https://zbmath.org/?q=an:1117.81330}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 128
\issue 2
\pages 2807--2811
\crossref{https://doi.org/10.1007/s10958-005-0236-6}
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