L. I. Danilov, “Spectrum of the Dirac operator in $\mathbb R^n$ with periodic potential”, TMF, 85:1 (1990), 41–53; Theoret. and Math. Phys., 85:1 (1990), 1039

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Teoreticheskaya i Matematicheskaya Fizika, 1990, Volume 85, Number 1, Pages 41–53 (Mi tmf5929)

This article is cited in 16 scientific papers (total in 16 papers)

Spectrum of the Dirac operator in

$\mathbb R^n$ with periodic potential

L. I. Danilov

Full-text PDF (962 kB) Citations (16)

References:

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Abstract: For the Dirac operator with periodic potential, conditions under which there are no eigenvalues in its spectrum are found.

Received: 14.06.1989

English version:
Theoretical and Mathematical Physics, 1990, Volume 85, Issue 1, Pages 1039–1048
DOI: https://doi.org/10.1007/BF01017245

Bibliographic databases:

Language: Russian

Citation: L. I. Danilov, “Spectrum of the Dirac operator in

$\mathbb R^n$ with periodic potential”, TMF, 85:1 (1990), 41–53; Theoret. and Math. Phys., 85:1 (1990), 1039–1048

Citation in format AMSBIB

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\jour Theoret. and Math. Phys.

\yr 1990

\vol 85

\issue 1

\pages 1039--1048

\crossref{https://doi.org/10.1007/BF01017245}

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Linking options:

https://www.mathnet.ru/eng/tmf5929

https://www.mathnet.ru/eng/tmf/v85/i1/p41

This publication is cited in the following 16 articles:

L. I. Danilov, “O spektre periodicheskogo magnitnogo operatora Diraka”, Izv. IMI UdGU, 2016, no. 2(48), 3–21
Kuchment P., “An overview of periodic elliptic operators”, Bull. Amer. Math. Soc., 53:3 (2016), 343–414
Ihyeok Seo, “On absolute continuity of the spectrum of periodic Schrödinger operators”, Monatsh Math, 180:4 (2016), 893
Danilov L.I., “On Absolute Continuity of the Spectrum of a 3D Periodic Magnetic Dirac Operator”, Integral Equations Operator Theory, 71:4 (2011), 535–556
Danilov, LI, “On absolute continuity of the spectrum of a periodic magnetic Schrodinger operator”, Journal of Physics A-Mathematical and Theoretical, 42:27 (2009), 275204
Shen, ZW, “Uniform Sobolev inequalities and absolute continuity of periodic operators”, Transactions of the American Mathematical Society, 360:4 (2008), 1741
L. I. Danilov, “Absolyutnaya nepreryvnost spektra mnogomernogo periodicheskogo magnitnogo operatora Diraka”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2008, no. 1, 61–96
L. I. Danilov, “Ob absolyutnoi nepreryvnosti spektra trekhmernogo periodicheskogo operatora Diraka”, Izv. IMI UdGU, 2006, no. 1(35), 49–76
L. I. Danilov, “The absence of eigenvalues in the spectrum of ageneralized two-dimensional periodic Dirac operator”, St. Petersburg Math. J., 17:3 (2006), 409–433
Zhongwei Shen, “The Periodic Schrödinger Operators with Potentials in the Morrey Class”, Journal of Functional Analysis, 193:2 (2002), 314
Kuchment, P, “On the structure of spectra of periodic elliptic operators”, Transactions of the American Mathematical Society, 354:2 (2001), 537
L. I. Danilov, “Spectrum of the periodic Dirac operator”, Theoret. and Math. Phys., 124:1 (2000), 859–871
L. I. Danilov, “On the spectrum of the two-dimensional periodic Dirac operator”, Theoret. and Math. Phys., 118:1 (1999), 1–11
Peter Kuchment, Sergei Levendorskiǐ, Mathematical Results in Quantum Mechanics, 1999, 291
M. Sh. Birman, T. A. Suslina, “The periodic Dirac operator is absolutely continuous”, Integr equ oper theory, 34:4 (1999), 377
L. I. Danilov, “Resolvent estimates and the spectrum of the Dirac operator with periodical potential”, Theoret. and Math. Phys., 103:1 (1995), 349–365

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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