Danilov, Leonid Ivanovich On the spectrum of a Landau Hamiltonian with a periodic electric potential \(V\in L^p_{\text{loc}}(\mathbb{R}^2)\), \(p>1\). (Russian. English summary) Zbl 07312112 Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 55, 42-59 (2020). MSC: 35P05 35J10 PDF BibTeX XML Cite \textit{L. I. Danilov}, Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 55, 42--59 (2020; Zbl 07312112) Full Text: DOI MNR
Danilov, L. I. Spectrum of the Landau Hamiltonian with a periodic electric potential. (English. Russian original) Zbl 1445.81023 Theor. Math. Phys. 202, No. 1, 41-57 (2020); translation from Teor. Mat. Fiz. 202, No. 1, 47-65 (2020). MSC: 81Q10 81V10 35P05 PDF BibTeX XML Cite \textit{L. I. Danilov}, Theor. Math. Phys. 202, No. 1, 41--57 (2020; Zbl 1445.81023); translation from Teor. Mat. Fiz. 202, No. 1, 47--65 (2020) Full Text: DOI
Danilov, Leonid Ivanovich On the spectrum of a relativistic Landau Hamiltonian with a periodic electric potential. (Russian. English summary) Zbl 1452.35121 Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 54, 3-26 (2019). MSC: 35P05 35Q41 PDF BibTeX XML Cite \textit{L. I. Danilov}, Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 54, 3--26 (2019; Zbl 1452.35121) Full Text: DOI MNR
Danilov, Leonid Ivanovich On the spectrum of a two-dimensional Schrödinger operator with a homogeneous magnetic field and a periodic electric potential. (Russian. English summary) Zbl 1423.35262 Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 51, 3-41 (2018). MSC: 35P05 35J10 35Q40 81Q10 PDF BibTeX XML Cite \textit{L. I. Danilov}, Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 51, 3--41 (2018; Zbl 1423.35262) Full Text: DOI MNR
Kuchment, Peter An overview of periodic elliptic operators. (English) Zbl 1346.35170 Bull. Am. Math. Soc., New Ser. 53, No. 3, 343-414 (2016). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q40 35J10 35J15 47A53 47F05 58J05 PDF BibTeX XML Cite \textit{P. Kuchment}, Bull. Am. Math. Soc., New Ser. 53, No. 3, 343--414 (2016; Zbl 1346.35170) Full Text: DOI arXiv
Shen, Zhongwei; Zhao, Peihao Uniform Sobolev inequalities and absolute continuity of periodic operators. (English) Zbl 1133.35031 Trans. Am. Math. Soc. 360, No. 4, 1741-1758 (2008). Reviewer: Mihai Pascu (Bucureşti) MSC: 35J10 47F05 46E35 42B15 PDF BibTeX XML Cite \textit{Z. Shen} and \textit{P. Zhao}, Trans. Am. Math. Soc. 360, No. 4, 1741--1758 (2008; Zbl 1133.35031) Full Text: DOI
Danilov, L. I. Absence of eigenvalues for the generalized two-dimensional periodic Dirac operator. (English. Russian original) Zbl 1153.35367 St. Petersbg. Math. J. 17, No. 3, 409-433 (2006); translation from Algebra Anal. 17, No. 3, 47-80 (2006). MSC: 35P05 47F05 35Q40 81Q10 35B10 PDF BibTeX XML Cite \textit{L. I. Danilov}, St. Petersbg. Math. J. 17, No. 3, 409--433 (2006; Zbl 1153.35367); translation from Algebra Anal. 17, No. 3, 47--80 (2006) Full Text: DOI