R. G. Shterenberg, “On the structure of the lower spectral edge for a magnetic Schrödinger operator with small magnetic potential”, Algebra i Analiz, 17:5 (2005), 232–243; St. Petersburg Math. J., 17:5 (2006), 865

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Algebra i Analiz, 2005, Volume 17, Issue 5, Pages 232–243 (Mi aa712)

This article is cited in 13 scientific papers (total in 13 papers)

Research Papers

On the structure of the lower spectral edge for a magnetic Schrödinger operator with small magnetic potential

R. G. Shterenberg

St. Petersburg State University, Faculty of Physics

Full-text PDF (560 kB) Citations (13)

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Received: 24.02.2005

English version:
St. Petersburg Mathematical Journal, 2006, Volume 17, Issue 5, Pages 865–873
DOI: https://doi.org/10.1090/S1061-0022-06-00933-2

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: R. G. Shterenberg, “On the structure of the lower spectral edge for a magnetic Schrödinger operator with small magnetic potential”, Algebra i Analiz, 17:5 (2005), 232–243; St. Petersburg Math. J., 17:5 (2006), 865–873

Citation in format AMSBIB

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\by R.~G.~Shterenberg

\paper On the structure of the lower spectral edge for a~magnetic Schr\"odinger operator with small magnetic potential

\jour Algebra i Analiz

\yr 2005

\vol 17

\issue 5

\pages 232--243

\mathnet{http://mi.mathnet.ru/aa712}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2241429}

\zmath{https://zbmath.org/?q=an:1264.35102}

\transl

\jour St. Petersburg Math. J.

\yr 2006

\vol 17

\issue 5

\pages 865--873

\crossref{https://doi.org/10.1090/S1061-0022-06-00933-2}

Linking options:

https://www.mathnet.ru/eng/aa712

https://www.mathnet.ru/eng/aa/v17/i5/p232

This publication is cited in the following 13 articles:

Nikolay Filonov, Ilya Kachkovskiy, “On Spectral Bands of Discrete Periodic Operators”, Commun. Math. Phys., 405:2 (2024)
T. A. Suslina, “Operator-theoretic approach to the homogenization of Schrödinger-type equations with periodic coefficients”, Russian Math. Surveys, 78:6 (2023), 1023–1154
Borisov D., Taeufer M., Veselic I., “Quantum Hamiltonians With Weak Random Abstract Perturbation. II. Localization in the Expanded Spectrum”, J. Stat. Phys., 182:1 (2021), 1
E. Korotyaev, N. Saburova, “Spectral estimates for Schrödinger operators on periodic discrete graphs”, St. Petersburg Math. J., 30:4 (2019), 667–698
Filonov N. Kachkovskiy I., “On the Structure of Band Edges of 2-Dimensional Periodic Elliptic Operators”, Acta Math., 221:1 (2018), 59–80
Korotyaev E., Saburova N., “Magnetic Schrödinger operators on periodic discrete graphs”, J. Funct. Anal., 272:4 (2017), 1625–1660
Suslina T., “Spectral approach to homogenization of nonstationary Schrödinger-type equations”, J. Math. Anal. Appl., 446:2 (2017), 1466–1523
Korotyaev E. Saburova N., “Effective Masses For Laplacians on Periodic Graphs”, J. Math. Anal. Appl., 436:1 (2016), 104–130
Kuchment P., “An overview of periodic elliptic operators”, Bull. Amer. Math. Soc., 53:3 (2016), 343–414
Birman M.S., Suslina T.A., “Homogenization of Periodic Differential Operators as a Spectral Threshold Effect”, New Trends in Mathematical Physics, 2009, 667–683
M. Sh. Birman, T. A. Suslina, “Operator error estimates in the homogenization problem for nonstationary periodic equations”, St. Petersburg Math. J., 20:6 (2009), 873–928
M. Sh. Birman, T. A. Suslina, “Homogenization with corrector for periodic differential operators. Approximation of solutions in the Sobolev class $H^1(\mathbb R^d)$ ”, St. Petersburg Math. J., 18:6 (2007), 857–955
M. Sh. Birman, T. A. Suslina, “Averaging of periodic elliptic differential operators with the account of a corrector”, St. Petersburg Math. J., 17:6 (2006), 897–973

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

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Abstract page:	515
Full-text PDF :	162
References:	101
First page:	1

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