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  2. S. Z. Levendorskii, The asymptotics for the number of eigenvalue branches for the magnetic Schrödinger operator H − λW in a gap of H, Math. Z. 223 (1996), 609-626. 

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  4. Z. Shen, On the number of negative eigenvalues for a Schrödinger operator with magnetic field, Commun. Math. Phys. 182 (1996), 637-660. 

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  6. S. I. Boyarchenko, S. Z. Levendorskii, An asymptotic formula for the eigenvalue branches of a divergence form operator A + λB in a spectral gap of A, Commun. P.D.E. 22 (1997), 1771-1786. 

  7. S. Z. Levendorskii, Spectral properies for Schrödinger operators with irregular magnetic potentials, for a 1/2 spin particle, J. Math. Anal. Appl. 216 (1997), 48-68. 

  8. O. Ogurisu, Anticommutativity and spin 1/2 Schrödinger operators with magnetic fields, J. Operator Theory 37 (1997), 183-194. 

  9. R. Hempel, S. Z. Levendorskii, On eigenvalues in gaps for perturbed magnetic Schrödinger operators, J. Math. Phys. 39 (1998), 63-78. 

  10. G. Hoever, Zur Spektraltheorie von magnetischen Schrödingeroperatoren, Dissertation an der Fakultät f ̈ur Mathematik und Informatik der Ludwig-Maximillians-Universität, München, 1998. 

  11. A. Iwatsuka, H. Tamura, Asymptotic distribution of negative eigenvalues for two-dimensional Pauli operators with nonconstant magnetic fields, Annales d’Institut Fourier 48, 2, (1998), 479-515. 

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  14. M. Dimassi, Développements asymptotiques de l’opérateur de Schrödinger avec champs magnétique fort, Commun. P.D.E. 26 (2001), 595-627. 

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  16. S. Warzel, On Lifshits tails in magnetic fields, Doctoral Thesis, Friedrich- Alexander-Universität, Erlangen-Nürnberg, Logos Verlag, Berlin, 2001. 

  17. R. Hempel, A. Besch, Magnetic barriers of compact support and eigenvalues in spectral gaps, Electr. J. Diff. Eq. 2003 (2003), No. 48, pp. 1-25. 

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  21. G. Rozenblum, M. Melgaard, Schrödinger operators with singular potentials, In: Stationary partial differential equations. Vol. II, 407–517 Handboook of Differential Equations, Elsevier/North-Holland, Amsterdam, 2005. 

  22. B. Helffer, Analysis of the bottom of the spectrum of Schrödinger operators with magnetic potentials and applications, In: European Congress of Mathematics, 597–617, Eur. Math. Soc., Zürich, 2005. 

  23. A. Sourisse, Propriétés spectrales de l’opérateur de Dirac avec un champ magnétique intense, Thèse de Doctorat, Université de Nantes, 2006. 

  24. T. Mine, Y. Nomura, Periodic Aharonov–Bohm solenoids in a constant magnetic field, Rev. Math. Phys. 18 (2006), 913-934. 

  25. S. Shirai, Existence and decay of solutions to a semilinear Schrödinger equation with magnetic field, Hokkaido Math. J. 37 (2008), 241–273. 

  26. B. Helffer, Y. Kordyukov, Semiclassical analysis of Schrödinger operators with magnetic wells, In: Spectral and scattering theory for quantum magnetic systems. Proceedings of the conference, CIRM, 2008. Providence, RI: American Mathematical Society (AMS), Contemporary Mathematics 500, 105-121 (2009). 

  27. S. Fournais, B. Helffer, Spectral Methods in Surface Superconductivity, Progress in Nonlinear Differential Equations and their Applications, 77. Birkhäuser Boston, Inc., Boston, MA, 2010.  

  28. P. Miranda, Spectral Properties of Magnetic Quantum Hamiltonians, Ph. D. Thesis, Universidad de Chile, Santiago de Chile, 2011.

  29. N. Popoff, Sur le spectre de l’opérateur de Schrödinger magnétique dans un domaine diédral, Thèse de Doctorat, Université de Rennes I, 2012. 

  30. A. T. Duong, Théories spectrale et de résonances pour l’opérateur de Schrödinger avec champ magnétique, Thèse de Doctorat, Université de Paris 13, 2013. 

  31. M. Dimassi, A. T. Duong, Trace asymptotics formula for the Schrödinger operators with constant magnetic fields, J. Math. Anal. Appl. 416 (2014), 427-448. 

  32. N. Raymond, Geometry and bound states of the magnetic Schrödinger operator, Mémoire d’Habilatation à Diriger les Recherches, Université de Rennes 1, 2014. 

  33. E. Eyvazov, On the properties of the resolvent of two-dimensional magnetic Schrödinger operator, Azerb. J. Math. 5 (2015), 13–28. 

  34. N. Raymond, Bound States of the Magnetic Schrödinger Operator, EMS Tracts in Mathematics 27, EMS, Zürich, 2017. 

  35. M. Dimassi, A. T. Duong, Semi-classical asymptotics for the Schrödinger operators with constant magnetic fields, In: PDE's, dispersion, scattering theory and control theory, 45-58, Sémin. Congr., 30, Soc. Math. France, Paris, 2017.  

  36. Elshad H. Eyvazov and Davud H. Orujov, On negative eigenvalues of the Schrödinger operator, Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 46 (2020) 171-179. 

  37. Shaowei Chen, A new critical point theorem and small magnitude solutions of magnetic Schrödinger equations with Landau levels, Journal of Mathematical Analysis and Applications, 506 (2022) n 2, article number 125696. 

  38. Yuri A. Kordyukov, Semiclassical spectral analysis of the Bochner-Schrödinger operator on symplectic manifolds of bounded geometry, Analysis and Mathematical Physics 12 (2022), article number 22. 

  39. Giuliano Angelone, Paolo Facchi, Davide Lonigro, Quantum magnetic billiards: boundary conditions and gauge transformations, Annals of Physics 442 (2022), 168914, 15 pp.

  40.  Léo Morin, Review on spectral asymptotics for the semiclassical Bochner Laplacian of a line bundle, Confluentes Mathematici, 14 (2022) no.1, 65-79. 

  41. Alex H. Ardila, Hichem Hajaiej, Global well-posedness, blow-up and stability of standing waves for supercritical NLS with rotation, Journal of Dynamics and Differential Equations 35 (2023), 1643–1665.  

  42. Marie Fialová, Aharonov-Casher theorems for manifolds with boundary and APS boundary condition, Preprint arXiv:2304.13373, 2023. 

  43.  B. Cassano, V. Franceschi, D Krejcirik, D Prandi, Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group, Commun. PDE, 48 (2023) no.5, 711-752.

  44. T.D. Ke, N.N. Thang, An optimal Halanay inequality and decay rate of solutions to some classes of nonlocal functional differential equations, Journal of Dynamics and Differential Equations (2023), on-line first, https://doi.org/10.1007/s10884-023-10323-w . 

  45. W. Liu, C. Wang, X. Zhao, On action ground states of defocusing nonlinear Schrödinger equations, Preprint arXiv:2311.02890, 2023.

  46. S. Chen, New critical point theorem and infinitely many small-magnitude solutions of a nonlinear Iwatsuka model, J. Math. Anal. Appl. 529 (2024), no.1, 127605.