Abstract:
The absolute continuity of the spectrum of multidimensional periodic Dirac operator is proved for certain classes of discontinuous magnetic potentials.
Received: 01.09.2007
Document Type:
Article
UDC:517.958+517.984.56
Language: Russian
Citation:
L. I. Danilov, “Absolute continuity of the spectrum of multidimensional periodic magnetic Dirac operator”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 1, 61–96
\Bibitem{Dan08}
\by L.~I.~Danilov
\paper Absolute continuity of the spectrum of multidimensional periodic magnetic Dirac operator
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2008
\issue 1
\pages 61--96
\mathnet{http://mi.mathnet.ru/vuu52}
\crossref{https://doi.org/10.20537/vm080105}
Linking options:
https://www.mathnet.ru/eng/vuu52
https://www.mathnet.ru/eng/vuu/y2008/i1/p61
This publication is cited in the following 6 articles:
L. I. Danilov, “Absolute Continuity of the Spectrum of a Periodic 3D Magnetic Schrödinger Operator with Singular Electric Potential”, Math. Notes, 110:4 (2021), 497–510
L. I. Danilov, “O spektre mnogomernogo periodicheskogo magnitnogo operatora Shredingera s singulyarnym elektricheskim potentsialom”, Izv. IMI UdGU, 58 (2021), 18–47
L. I. Danilov, “O spektre periodicheskogo magnitnogo operatora Diraka”, Izv. IMI UdGU, 2016, no. 2(48), 3–21
L. I. Danilov, “O spektre periodicheskogo operatora Shredingera s potentsialom iz prostranstva Morri”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2012, no. 3, 25–47
Leonid I. Danilov, “On Absolute Continuity of the Spectrum of a 3D Periodic Magnetic Dirac Operator”, Integr. Equ. Oper. Theory, 71:4 (2011), 535
L I Danilov, “On absolute continuity of the spectrum of a periodic magnetic Schrödinger operator”, J. Phys. A: Math. Theor., 42:27 (2009), 275204
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