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 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, 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
Adachi, Tadayoshi; Kimura, Toshiyuki; Shimizu, Yoshimasa Scattering theory for two-body quantum systems with singular potentials in a time-periodic electric fielda). (English) Zbl 1309.81254 J. Math. Phys. 51, No. 3, 032103, 23 p. (2010). MSC: 81U05 35P25 78A35 PDF BibTeX XML Cite \textit{T. Adachi} et al., J. Math. Phys. 51, No. 3, 032103, 23 p. (2010; Zbl 1309.81254) Full Text: DOI
Adachi, Tadayoshi Asymptotic completeness for \(N\)-body quantum systems with long-range interactions in a time-periodic electric field. (English) Zbl 1137.81044 Commun. Math. Phys. 275, No. 2, 443-477 (2007). Reviewer: Ricardo Weder (México City) MSC: 81U10 35P25 47A40 47N50 PDF BibTeX XML Cite \textit{T. Adachi}, Commun. Math. Phys. 275, No. 2, 443--477 (2007; Zbl 1137.81044) Full Text: DOI
Eckstein, Andrei Unitary reduction for the two-dimensional Schrödinger operator with strong magnetic field. (English) Zbl 1121.47064 C. R., Math., Acad. Sci. Paris 344, No. 11, 715-719 (2007). MSC: 47N50 81Q10 35J10 PDF BibTeX XML Cite \textit{A. Eckstein}, C. R., Math., Acad. Sci. Paris 344, No. 11, 715--719 (2007; Zbl 1121.47064) Full Text: DOI
Cimatti, Giovanni Forced periodic solutions for piezoelectric crystals. (English) Zbl 1088.37051 Commun. Pure Appl. Anal. 4, No. 2, 475-485 (2005). MSC: 37N15 74F15 74H45 35B10 35Q72 PDF BibTeX XML Cite \textit{G. Cimatti}, Commun. Pure Appl. Anal. 4, No. 2, 475--485 (2005; Zbl 1088.37051) Full Text: DOI
Danilov, L. I. The spectrum of the two-dimensional periodic Schrödinger operator. (English) Zbl 1178.35275 Theor. Math. Phys. 134, No. 3, 392-403 (2003); translation from Teor. Mat. Fiz. 134, No. 3, 447-459 (2003). MSC: 35P05 81Q10 35J10 35Q40 PDF BibTeX XML Cite \textit{L. I. Danilov}, Theor. Math. Phys. 134, No. 3, 392--403 (2003; Zbl 1178.35275); translation from Teor. Mat. Fiz. 134, No. 3, 447--459 (2003) Full Text: DOI
Suslina, T. A.; Shterenberg, R. G. Absolute continuity of the spectrum of the Schrödinger operator with the potential concentrated on a periodic system of hypersurfaces. (English. Russian original) Zbl 1068.35122 St. Petersbg. Math. J. 13, No. 5, 859-891 (2002); translation from Algebra Anal. 13, No. 5, 197-240 (2001). MSC: 35Q40 35P20 81Q10 PDF BibTeX XML Cite \textit{T. A. Suslina} and \textit{R. G. Shterenberg}, St. Petersbg. Math. J. 13, No. 5, 1 (2002; Zbl 1068.35122); translation from Algebra Anal. 13, No. 5, 197--240 (2001)
Birman, M. Sh.; Shterenberg, R. G.; Suslina, T. A. Absolute continuity of the spectrum of a two-dimensional Schrödinger operator with potential supported on a periodic system of curves. (English. Russian original) Zbl 0998.35006 St. Petersbg. Math. J. 12, No. 6, 983-1012 (2001); translation from Algebra Anal. 12, No. 6, 140-177 (2001). MSC: 35J10 35P15 35P05 PDF BibTeX XML Cite \textit{M. Sh. Birman} et al., St. Petersbg. Math. J. 12, No. 6, 983--1012 (2001; Zbl 0998.35006); translation from Algebra Anal. 12, No. 6, 140--177 (2001)
Kuchment, Peter; Levendorskiǐ, Sergei On absolute continuity of spectra of periodic elliptic operators. (English) Zbl 0965.35100 Dittrich, Jaroslav (ed.) et al., Mathematical results in quantum mechanics. QMath7 conference, Prag, Czech Republic, June 22-26, 1998. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 108, 291-297 (1999). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 35P05 35J10 PDF BibTeX XML Cite \textit{P. Kuchment} and \textit{S. Levendorskiǐ}, in: Mathematical results in quantum mechanics. QMath7 conference, Prag, Czech Republic, June 22--26, 1998. Basel: Birkhäuser. 291--297 (1999; Zbl 0965.35100) Full Text: arXiv
Mokady, A. J.; Mestel, A. J.; Winlove, C. P. Flow through a charged biopolymer layer. (English) Zbl 0930.76100 J. Fluid Mech. 383, 353-378 (1999). Reviewer: R.K.Gupta (Meerut) MSC: 76Z05 92C10 76W05 PDF BibTeX XML Cite \textit{A. J. Mokady} et al., J. Fluid Mech. 383, 353--378 (1999; Zbl 0930.76100) Full Text: DOI
Virgin, L. N.; Todd, M. D.; Begley, C. J.; Trickey, S. T.; Dowell, E. H. Basins of attraction in experimental nonlinear oscillators. (English) Zbl 0936.37014 Int. J. Bifurcation Chaos Appl. Sci. Eng. 8, No. 3, 521-533 (1998). MSC: 37D45 37J40 37J45 PDF BibTeX XML Cite \textit{L. N. Virgin} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 8, No. 3, 521--533 (1998; Zbl 0936.37014) Full Text: DOI
Schmidt, K. E.; Lee, Michael A. Multipole Ewald sums for the fast multipole method. (English) Zbl 0917.65101 J. Stat. Phys. 89, No. 1-2, 411-424 (1997). MSC: 65Z05 78A30 35Q60 PDF BibTeX XML Cite \textit{K. E. Schmidt} and \textit{M. A. Lee}, J. Stat. Phys. 89, No. 1--2, 411--424 (1997; Zbl 0917.65101) Full Text: DOI
Otero, J. A.; Castillero, J. B.; Ramos, R. R. Homogenization of heterogeneous piezoelectric medium. (English) Zbl 0894.73132 Mech. Res. Commun. 24, No. 1, 75-84 (1997). Reviewer: Ahmed Ghaleb (Giza) MSC: 74F15 74E05 PDF BibTeX XML Cite \textit{J. A. Otero} et al., Mech. Res. Commun. 24, No. 1, 75--84 (1997; Zbl 0894.73132) Full Text: DOI
Combes, J. M.; Hislop, P. Quantum tunnelling for Bloch electrons in small electric fields. (English) Zbl 0726.34076 Recent developments in quantum mechanics, Proc. Conf., Braşov/Rom. 1989, Math. Phys. Stud. 12, 113-131 (1991). MSC: 34L40 81V45 PDF BibTeX XML
Colin de Verdière, Yves Sur les singularités de Van Hove génériques. (On generic Van Hove singularities). (French) Zbl 0773.47034 Mém. Soc. Math. Fr., Nouv. Sér. 46, 99-109 (1991). Reviewer: B.Helffer (Paris) MSC: 47F05 35J10 PDF BibTeX XML Cite \textit{Y. Colin de Verdière}, Mém. Soc. Math. Fr., Nouv. Sér. 46, 99--109 (1991; Zbl 0773.47034) Full Text: DOI Numdam EuDML
Gerard, C.; Martinez, A.; Sjöstrand, J. A mathematical approach to the effective Hamiltonian in perturbed periodic problems. (English) Zbl 0753.35057 Commun. Math. Phys. 142, No. 2, 217-244 (1991). Reviewer: B.Helffer (Paris) MSC: 35P05 81Q20 35S05 35J10 PDF BibTeX XML Cite \textit{C. Gerard} et al., Commun. Math. Phys. 142, No. 2, 217--244 (1991; Zbl 0753.35057) Full Text: DOI
Toko, K.; Nosaka, M.; Fujiyoshi, T.; Yamafuji, K.; Ogata, K. Periodic band pattern as a dissipative structure in ion transport systems with cylindrical shape. (English) Zbl 0642.92002 Bull. Math. Biol. 50, No. 3, 255-288 (1988). MSC: 92C05 82C70 PDF BibTeX XML Cite \textit{K. Toko} et al., Bull. Math. Biol. 50, No. 3, 255--288 (1988; Zbl 0642.92002) Full Text: DOI
Helffer, Bernard Semi-classical analysis for the Schrödinger operator and applications. (English) Zbl 0647.35002 Lecture Notes in Mathematics, 1336. Berlin etc.: Springer-Verlag. iv, 107 p. DM 23.00 (1988). Reviewer: R.Didier MSC: 35-02 35P05 35J10 81Q15 PDF BibTeX XML Cite \textit{B. Helffer}, Semi-classical analysis for the Schrödinger operator and applications. Berlin etc.: Springer-Verlag (1988; Zbl 0647.35002)
Cycon, H. L.; Froese, R. G.; Kirsch, W.; Simon, B. Schrödinger operators, with application to quantum mechanics and global geometry. (English) Zbl 0619.47005 Springer Study edition. Texts and Monographs in Physics. Berlin etc.: Springer-Verlag. ix, 319 pp.; DM 56.00 (1987). Reviewer: M.Combescure MSC: 47A40 47B80 47-02 81U05 47A35 81U10 82B44 60H25 47A10 58J20 58J50 PDF BibTeX XML
Dattoli, G.; Gallardo, J. C.; Torre, A. Comments on exact solutions for a one-dimensional periodic solid. (English) Zbl 0613.73108 J. Math. Phys. 28, 404-405 (1987). MSC: 74F15 35J10 PDF BibTeX XML Cite \textit{G. Dattoli} et al., J. Math. Phys. 28, 404--405 (1987; Zbl 0613.73108) Full Text: DOI
Kokunov, V. A.; Kudryavtsev, B. A.; Senik, N. A. The plane problem of electroelasticity for a piezoelectric layer with a periodic system of electrodes at the surfaces. (English. Russian original) Zbl 0594.73103 J. Appl. Math. Mech. 49, 374-379 (1985); translation from Prikl. Mat. Mekh. 49, 485-491 (1985). MSC: 74F15 PDF BibTeX XML Cite \textit{V. A. Kokunov} et al., J. Appl. Math. Mech. 49, 374--379 (1985; Zbl 0594.73103); translation from Prikl. Mat. Mekh. 49, 485--491 (1985) Full Text: DOI
Luban, Marshall Bloch oscillations in one-dimensional solids and solitary waves packets. (English) Zbl 0572.73039 J. Math. Phys. 26, 2386-2391 (1985). MSC: 74J99 74F15 81V70 35J10 PDF BibTeX XML Cite \textit{M. Luban}, J. Math. Phys. 26, 2386--2391 (1985; Zbl 0572.73039) Full Text: DOI
Malik, S. K.; Singh, M. Nonlinear breakup of an electrohydrodynamic jet. (English) Zbl 0534.76117 Q. Appl. Math. 41, 273-287 (1983). Reviewer: P.Smith MSC: 76W05 76B10 76M99 76E30 PDF BibTeX XML Cite \textit{S. K. Malik} and \textit{M. Singh}, Q. Appl. Math. 41, 273--287 (1983; Zbl 0534.76117) Full Text: DOI
Dubrovin, B. A.; Novikov, S. P. Ground states in a periodic field. Magnetic Bloch functions and vector bundles. (English. Russian original) Zbl 0489.46055 Sov. Math., Dokl. 22, 240-244 (1980); translation from Dokl. Akad. Nauk SSSR 253, 1293-1297 (1980). MSC: 46N99 81Q15 33C45 30D45 37J99 70H05 47A55 PDF BibTeX XML Cite \textit{B. A. Dubrovin} and \textit{S. P. Novikov}, Sov. Math., Dokl. 22, 240--244 (1980; Zbl 0489.46055); translation from Dokl. Akad. Nauk SSSR 253, 1293--1297 (1980)