Simon, Barry Twelve tales in mathematical physics: an expanded Heineman Prize lecture. (English) Zbl 1507.01028 J. Math. Phys. 63, No. 2, Article ID 021101, 93 p. (2022). MSC: 01A65 81-01 82-01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rachid, Assel Absolute continuity of the magnetic Schrödinger operator with periodic potential. (English) Zbl 1428.35242 Korean J. Math. 26, No. 4, 601-614 (2018). Reviewer: Michael Perelmuter (Kyïv) MSC: 35P05 35J10 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Beckus, Siegfried; Bellissard, Jean Continuity of the spectrum of a field of self-adjoint operators. (English) Zbl 1354.81018 Ann. Henri Poincaré 17, No. 12, 3425-3442 (2016). MSC: 81Q10 47B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Popoff, Nicolas The model magnetic Laplacian on wedges. (English) Zbl 1327.81201 J. Spectr. Theory 5, No. 3, 617-661 (2015). MSC: 81Q10 35J10 35P15 26B35 81Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iftimie, Viorel; Purice, Radu The Peierls-Onsager effective Hamiltonian in a complete gauge covariant setting: determining the spectrum. (English) Zbl 1329.35367 J. Spectr. Theory 5, No. 3, 445-531 (2015). Reviewer: Mihai Pascu (Bucureşti) MSC: 35S05 81Q10 81Q15 47G30 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cornean, Horia D.; Purice, Radu Spectral edge regularity of magnetic Hamiltonians. (English) Zbl 1321.47028 J. Lond. Math. Soc., II. Ser. 92, No. 1, 89-104 (2015). MSC: 47A55 35J10 35Q40 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cornean, Horia D.; Purice, Radu On the regularity of the Hausdorff distance between spectra of perturbed magnetic Hamiltonians. (English) Zbl 1270.81086 Benguria, Rafael (ed.) et al., Spectral analysis of quantum Hamiltonians. Spectral Days 2010. Selected papers of the conference, Santiago, Chile, September 2010. Basel: Birkhäuser (ISBN 978-3-0348-0413-4/hbk; 978-3-0348-0414-1/ebook). Operator Theory: Advances and Applications 224, 55-66 (2012). MSC: 81Q10 47G10 47G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Belmonte, F.; Măntoiu, M. Continuity of spectra in Rieffel’s pseudodifferential calculus. (English) Zbl 1302.35487 Benguria, Rafael (ed.) et al., Spectral analysis of quantum Hamiltonians. Spectral Days 2010. Selected papers of the conference, Santiago, Chile, September 2010. Basel: Birkhäuser (ISBN 978-3-0348-0413-4/hbk; 978-3-0348-0414-1/ebook). Operator Theory: Advances and Applications 224, 11-24 (2012). MSC: 35S05 81Q10 46L55 47C15 × Cite Format Result Cite Review PDF Full Text: DOI
Athmouni, Nassim; Măntoiu, Marius; Purice, Radu On the continuity of spectra for families of magnetic pseudodifferential operators. (English) Zbl 1312.81059 J. Math. Phys. 51, No. 8, 083517, 15 p. (2010). MSC: 81Q05 81Q10 35J10 35S30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cornean, Horia D. On the Lipschitz continuity of spectral bands of Harper-like and magnetic Schrödinger operators. (English) Zbl 1208.81089 Ann. Henri Poincaré 11, No. 5, 973-990 (2010). MSC: 81Q10 35J10 82D20 35P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sakamoto, Makoto; Tanimura, Shogo An extension of Fourier analysis for the \(n\)-torus in the magnetic field and its application to spectral analysis of the magnetic Laplacian. (English) Zbl 1062.81037 J. Math. Phys. 44, No. 11, 5042-5069 (2003). MSC: 81Q05 81V10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tanimura, Shogo Magnetic translation groups in an \(n\)-dimensional torus and their representations. (English) Zbl 1060.81528 J. Math. Phys. 43, No. 12, 5926-5948 (2002). MSC: 81Q70 20C35 22E70 81R05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nenciu, G. On asymptotic perturbation theory for quantum mechanics: almost invariant subspaces and gauge invariant magnetic perturbation theory. (English) Zbl 1059.81064 J. Math. Phys. 43, No. 3, 1273-1298 (2002). MSC: 81Q15 47A55 47N50 81V10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Briet, Philippe; Cornean, Horia D. Locating the spectrum for magnetic Schrödinger and Dirac operators. (English) Zbl 1009.35058 Commun. Partial Differ. Equations 27, No. 5-6, 1079-1101 (2002). MSC: 35P15 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Geyler, V. A.; Margulis, V. A. Point perturbation-invariant solutions of the Schrödinger equation with a magnetic field. (English. Russian original) Zbl 0898.35081 Math. Notes 60, No. 5, 575-580 (1996); translation from Mat. Zametki 60, No. 5, 768-773 (1996). MSC: 35Q40 81Q10 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI
Bellissard, J. Lipschitz continuity of gap boundaries for Hofstadter-like spectra. (English) Zbl 0790.35091 Commun. Math. Phys. 160, No. 3, 599-613 (1994). MSC: 35Q40 81V10 35P05 81Q20 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Dimassi, Mouez Asymptotic expansions of slow perturbations of the periodic Schrödinger operator. (Développements asymptotiques des perturbations lentes de l’opérateur de Schrödinger périodique.) (French) Zbl 0784.35071 Commun. Partial Differ. Equations 18, No. 5-6, 771-803 (1993). Reviewer: A.Martinez (Villetaneuse) MSC: 35P20 35P25 35J10 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI Numdam
Kerdelhué, Philippe Spectre de l’opérateur de Schrödinger magnétique avec symétrie d’ordre six. (Spectrum of the magnetic Schrödinger operator with symmetry of order six). (French) Zbl 0769.35075 Mém. Soc. Math. Fr., Nouv. Sér. 51, 139 p. (1992). Reviewer: B.Helffer (Paris) MSC: 35S05 81Q20 35J10 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Helffer, B.; Kerdelhué, P.; Sjöstrand, J. Le papillon de Hofstadter, revisité. (Hofstadter’s butterfly, revised). (French) Zbl 0732.44004 Mém. Soc. Math. Fr., Nouv. Sér. 43, 87 p. (1990). Reviewer: J.Asch (Berlin) MSC: 44A45 35Q40 35S99 35P99 81Q20 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Helffer, B.; Sjöstrand, J. Semi-classical analysis for Harper’s equation. III: Cantor structure of the spectrum. (English) Zbl 0725.34099 Mém. Soc. Math. Fr., Nouv. Sér. 39, 124 p. (1989). Reviewer: D.Robert (Nantes) MSC: 34L40 35P05 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Helffer, B.; Sjöstrand, J. Analyse semi-classique pour l’équation de Harper (avec application à l’équation de Schrödinger avec champ magnétique). (Semiclassical analysis for the Harper equation (with application to the magnetic Schrödinger equation)). (French) Zbl 0714.34130 Mém. Soc. Math. Fr., Nouv. Sér. 34, 113 p. (1988). Reviewer: C.Zuily MSC: 34L40 35P15 34L15 81Q20 35B20 35J10 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Nenciu, G. Stability of energy gaps under variations of the magnetic field. (English) Zbl 0607.46049 Lett. Math. Phys. 11, 127-132 (1986). MSC: 46N99 47F05 81Q15 × Cite Format Result Cite Review PDF Full Text: DOI