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Moscow Mathematical Journal, 2007, Volume 7, Number 3, Pages 461–479
DOI: https://doi.org/10.17323/1609-4514-2007-7-3-461-479 (Mi mmj292) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Magnetic Schrödinger operator: geometry, classical and quantum dynamics and spectral asymptotics

V. Ya. Ivrii

Department of Mathematics, University of Toronto
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DOI: https://doi.org/10.17323/1609-4514-2007-7-3-461-479
Abstract: I study the Schrödinger operator with the strong magnetic field, considering links between geometry of magnetic field, classical and quantum dynamics associated with operator and spectral asymptotics. In particular, I will discuss the role of short periodic trajectories.
Key words and phrases: Magnetic Schrödinger operator, dynamics, periodic trajectories logarithmic uncertainty principle.
Received: May 22, 2006
Bibliographic databases:
MSC: 35P20
Language: English
Citation: V. Ya. Ivrii, “Magnetic Schrödinger operator: geometry, classical and quantum dynamics and spectral asymptotics”, Mosc. Math. J., 7:3 (2007), 461–479
Citation in format AMSBIB
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\by V.~Ya.~Ivrii
\paper Magnetic Schr\"odinger operator: geometry, classical and quantum dynamics and spectral asymptotics
\jour Mosc. Math.~J.
\yr 2007
\vol 7
\issue 3
\pages 461--479
\mathnet{http://mi.mathnet.ru/mmj292}
\crossref{https://doi.org/10.17323/1609-4514-2007-7-3-461-479}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2343143}
\zmath{https://zbmath.org/?q=an:1152.35022}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000261829400007}
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    • This publication is cited in the following 1 articles:
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