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Cited by: 

1. M. Melgaard, G. Rozenblum, Eigenvalue asymptotics for weakly perturbed Dirac and Schrödinger operators with constant magnetic fields of full rank, Commun. P.D.E. 28 (2003), 697 - 736.

2. M. Dimassi, V. Petkov, Semiclassical resonances and trace formulae for non-semi-bounded Hamiltonians, Séminaire sur les Equations aux Dérivées Partielles, 2003–2004, Exp. No. X, 12 pp., Ecole Polytech., Palaiseau, 2004.

3. E. Korotyaev, A. Pushnitski, A trace formula and high-energy spectral asymptotics for the perturbed Landau Hamiltonian, J. Funct. Anal. 217 (2004), 221-248.

4. M. Dimassi, V. Petkov, Resonances for magnetic Stark Haniltonians in two-dimensional case, Int. Math. Res. Not. 2004 (2004), 4147-4179.

5. S. Shirai, Eigenvalue asymptotics for the Maass Hamiltonian with decreasing electric potentials, Publ. RIMS 41 (2005), 435-457.

6. 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.

7. D. Hundertmark, R. Killip, S. Nakamura, P. Stollmann, I. Veselic, Bounds on the spectral shift function and the density of states, Commun. Math. Phys. 262 (2006), 489-503.

8. N. Filonov, A. Pushnitski, Spectral asymptotics of Pauli operators and orthogonal polynomials in complex domains, Commun. Math. Phys. 264 (2006), 759 - 772.

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

10. I. Veselic, Existence and regularity properties of the integrated density of states of random Schrödinger operators, Habilitation Thesis, TU Chemnitz, 2006.

11. C. Förster, Trapped Modes in Elastic Waveguides, Dissertation an der Universität Stuttgart, 2007.

12. L. Erdos, Recent developments in quantum mechanics with magnetic fields, In: Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’s 60th Birthday, Proceedings of Symposia in Pure Mathematics 76, (2007), AMS, Providence, RI, 401–428.

13. J.-M. Combes, P. Hislop, F. Klopp, Some new estimates on the spectral shift function associated to random Schrödinger operators, In: Probability and Mathematical Physics: A Volume in Honor of Stanislav Molchanov, CRM Proceedings and Lecture Notes 42 (2007), 85-96.

14. J. Bruning, V. Geyler, K. Pankrashkin, On the discrete spectrum of spin-orbit Hamiltonians with singular interactions, 14 (2007), 423-429.

15. A. Pushnitski, G. Rozenblum, Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain, Documenta Math. 12 (2007), 569–586.

16. I. Veselic, Existence and Regularity Properties of the Integrated Density of States of Random Schrödinger Operators, Lect. Notes Math., 1917 (2008) Springer, Berlin-Heidelberg-New York.

17. G. Rozenblum, G. Tashchiyan, On the spectral properties of the perturbed Landau Hamiltonian, Commun. P.D.E. 33 (2008), 1048 - 1081.

18. C. Forster, Trapped modes for an elastic plate with a perturbation of Young’s modulus, Commun. P.D.E. 33 (2008), 1339 - 1367. 

19. A. M. Hansson, A. Laptev, Sharp spectral inequalities for the Heisenberg Laplacian, In: Groups and analysis, London Math. Soc. Lecture Note Ser., 354 Cambridge Univ. Press, Cambridge, (2008), 100115

20. G. Rozenblum, A. V. Sobolev, Discrete spectrum distribution of the Landau operator perturbed by an expanding electric potential, In: Spectral Theory of Differential Operators: M. Sh. Birman 80th Anniversary Collection, AMS Translations, Series 2, 225 (2008), 169-190.

21. M. Persson, Spectral properties of quantum mechanical operators with magnetic field, Thesis for the Degree of Doctor of Philosophy, Chalmers University of Technology and Gothenburg University, Göteborg, 2008.

22. A. Khochman, Résonances et diffusion pour les opérateurs de Dirac et de Schrödinger magnétique, Thèse de Doctorat, Université Bordeaux 1, 2008.

23. M. Persson, Eigenvalue asymptotics of the even-dimensional exterior Landau-Neumann Hamiltonian, Adv. Math. Phys. 2009 (2009), Article ID 873704, 15 pp.

24. A. Alexandrov, G. Rozenblum, Finite rank Toeplitz operators: Some extensions of D. Luecking’s theorem, J. Funct. Anal. 256 (2009), 2291-2303.

25. A. Khochman, Resonances and spectral shift function for a magnetic Schrödinger operator, J. Math. Phys. 50 (2009) 043507, 16 pp.

26. G. Rozenblum, G. Tashchiyan, On the spectral properties of the Landau Hamiltonian perturbed by a moderately decaying magnetic field, In: Spectral and scattering theory for quantum magnetic systems. Proceedings of the conference, CIRM, 2008. Providence, RI: American Mathematical Society (AMS), Contemporary Mathematics 500, 169-186 (2009).

27. G. Rozenblum, Finite rank Toeplitz operators in the Bergman space, In: Around the research of Vladimir Maz’ya. III. Analysis and applications. Dordrecht: Springer; International Mathematical Series (New York) 13, 331-358 (2010).

28. M. Dimassi, V. Petkov, Spectral shift function for operators with crossed magnetic and electric fields, Reviews in Mathematical Physics 22 (2010), 355–380.

29. F. Klopp, Lifshitz tails for alloy-type models in a constant magnetic field, J. Phys. A 43 (2010), 474029, 9 pp.

30. Z. Mouayn, A generating function for hermite polynomials associated with Euclidean Landau levels, Theoretical and Mathematical Physics 165 (2010), 1435–1442.

31. R. Tiedra de Aldecoa, Asymptotics near ±m of the spectral shift function for Dirac operators with non-constant magnetic fields, Comm. Partial Differential Equations 36 (2011), 10-41.

32. C. Forster, T. Weidl, Trapped modes in an elastic plate with a hole, Algebra i Analiz 23 (2011), 255288.

33. A. Pushnitski, G. Rozenblum, On the spectrum of Bargmann-Toeplitz operators with symbols of a variable sign, J. Anal. Math. 114 (2011), 317-340.

34. D. I. Borisov, On the spectrum of a two-dimensional periodic operator with a small localized perturbation, Izv. Ross. Akad. Nauk Ser. Mat. 75 (2011), 29–64.

35. G. Rozenblum, On lower eigenvalue bounds for Toeplitz operators with radial symbols in Bergman spaces, J. Spectr. Theory 1 (2011), 299-325.

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

37. A. T. Duong, Spectral asymptotics for two-dimensional Schrödinger operators with strong magnetic fields, Methods Appl. Anal. 19 (2012), 77-98.

38. A. T. Duong, Resonances of two-dimensional Schrödinger operators with strong magnetic fields, Serdica Math. J. 38 (2012), 539-574.

39. D. Sambou, Résonances près de seuils d’opérateurs magnétiques de Pauli et de Dirac, Canad. J. Math. 65 (2013), 1095-1124.

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

41. D. Sambou, Accumulation spectrale pour les Hamiltoniens quantiques magnétiques, Thèse de Doctorat, Université de Bordeaux 1, 2013.

42. D. Sambou, Lieb-Thirring type inequalities for non-self-adjoint perturbations of magnetic Schr ̈odinger operators, J. Funct. Anal. 266 (2014), 5016-5044.

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

44. R. Assel, M. Dimassi, C. Fernandez, Some remarks on the spectrum of the magnetic Stark Hamiltonians, Mathematics and Statistics 2 (2014), 101–104.

45. L. Schirmer, Spectral Inequalities for Discrete and Continuous Differential Operators, Ph.D. Thesis, Imperial College, London, 2015.

46. V. Bruneau, N. Popoff, On the ground state energy of the Laplacian with a magnetic field created by a rectilinear current, J. Funct. Anal. 268 (2015), 1277-1307.

47. Y. Sbai, Analyse semi-classique des opérateurs périodiques perturbés, Thèse de Doctorat, Institut de Mathématiques de Bordeaux, 2015.

48. T. Lungenstrass, Spectral Properties of Magnetic Quantum Systems, Ph. D. Thesis, Pontificia Universidad Católica de Chile, Santiago de Chile, 2015.

49. D. Barseghyan, P. Exner, H. Kovark, T. Weidl, Semiclassical bounds in magnetic bottles, Rev. Math. Phys. 28 (2016), 1650002, 29 pp.

50. P. Miranda, Eigenvalue asymptotics for a Schrödinger operator with non-constant magnetic field along one direction, Ann. H. Poincaré, 17 (2016), 1713-1736.

51. M. Goffeng, A. Kachmar, M. Persson Sundqvist, Clusters of eigenvalues for the magnetic Laplacian with Robin condition, J. Math. Phys. 57 (2016), 063510, 19 pp.

52. M. Taufer, I. Veselic, Wegner estimate for Landau-breather Hamiltonians, J. Math. Phys. 57 (2016), 072102, 8 pp.

53. V. Bruneau, D. Sambou, Spectral clusters for magnetic exterior problems, In: Proceedings of the Conference on Spectral Theory and Mathematical Physics, Santiago de Chile, 2014; Operator Theory: Advances and Applications, 254, 57-70, Springer International Publishing, 2016.

54. D. Sambou, Counting function of magnetic eigenvalues for non-definite sign perturbations, In: Proceedings of the Conference on Spectral Theory and Mathematical Physics, Santiago de Chile, 2014; Operator Theory: Advances and Applications, 254, 205-221, Springer International Publishing, 2016.

55. V. Ivrii, 100 years of Weyls law, Bull. Math. Sci. 6 (2016), 379–452.

56. V. Bruneau, D. Sambou, Counting function of magnetic resonances for exterior problems, Annales Henri Poincaré, 17 (2016), 3443–3471.

57. D. Sambou, On eigenvalue accumulation for non-self-adjoint magnetic operators, Journal de Mathématiques Pures et Appliquées 108 (2017), 306–332.

58. 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.

59. V. Bruneau, K. Pankrashkin, N. Popoff, Eigenvalue counting function for Robin Laplacians on conical domains, J. Geom. Anal., 28 (2018), 123-151.

60. P. Miranda, N. Popoff, Spectrum of the Iwatsuka Hamiltonian at thresholds, J. Math. Anal. Appl. 460 (2018), 516-545. 

61. V. Bruneau, P. Miranda, Threshold singularities of the spectral shift function for a half-plane magnetic Hamiltonian, J. Funct. Anal. 274 (2018),  2499-2531.  

62. S. Decio, Small Toeplitz Operators, Master Thesis in Mathematical Sciences, Lund University, 2018.

63. D. Sambou, Spectral non-self-adjoint analysis of complex Dirac, Pauli and Schrödinger operators with constant magnetic fields of full rank, Asymptotic Analysis 111 (2019), 113-136. 

64. N. Popoff, Magnetic fields and boundary conditions in spectral and asymptotic analysis, Mémoire d’Habilatation à Diriger les Recherches, Université de Bordeaux, 2019. 

65. V. Ivrii, Microlocal Analysis, Sharp Spectral Asymptotics and Applications. IV. Magnetic Schrödinger operator 2, Springer, Cham, 2019.  

66. Ignacio Tejeda, Spectral Asymptotics for Compactly Supported Electric Perturbationsof the Landau Hamiltonian, Master thesis, Pontificia Universidad Católica de Chile, 2019. 

67. Naoya Yoshida, Semi-classical approach to the Schrödinger operator with strong magnetic field, Doctoral thesis, Ritsumeikan University, 2020.

68. G. Levitina, F. Sukochev, D. Zanin, Cwikel estimates revisited, Proc. Lond. Math. Soc. 120 (2020), 265-304.  

69. M. Tautenhahn, I. Veselic, Sampling and equidistribution theorems for elliptic second order operators, lifting of eigenvalues, and applications, J. Differential Equations 268 (2020), 7669-7714. 

70. G. de Nittis, K. Gomi, M. Moscolari, The geometry of (non-Abelian) Landau levels, J. Geom. Phys. 152 (2020), 103649. 

71. J. Behrndt, P. Exner, M. Holzmann, V. Lotoreichik, The Landau Hamiltonian with δ-potentials supported on curves, Rev. Math. Phys. 32 (2020) n°4, 2050010.  

72. N. Yoshida, Eigenvalues and eigenfunctions for the two dimensional Schrödinger operator with strong magnetic field, Asymptotic Analysis, 120 (2020), no. 1-2, 175-197 .

73. Paul Geniet, Analyse spectrale de quelques opérateurs de Schrödinger magnétiques fibrés, Thèse de doctorat de l'Université de Bordeaux, 2020. 

74. Esteban Cárdenas, Pseudo-differential perturbations of the Landau Hamiltonian. In: Spectral Theory and Mathematical Physics. STMP 2018, Santiago, Chile, P. Miranda, N. Popoff, and G. Raikov (Eds.), Latin American Mathematics Series, Springer Nature, Switzerland AG, 2020. 

75. Giuseppe De Nittis, Maximiliano Sandoval, The noncommutative geometry of the Landau Hamiltonian: Metric aspects, SIGMA Symmetry Integrability Geom. Methods Appl. 16 (2020), 146, 50 pages.  

76. 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) no. 2, article number 125696. 

77. Charles L. Fefferman, Jacob Shapiro, Michael I. Weinstein, Lower bound on quantum tunneling for strong magnetic fields, SIAM Journal on Mathematical Analysis 54 (2022), no. 1, 1105-1130. 

78. Yuri A. Kordyukov, Berezin-Toeplitz quantization asssociated with higher Landau levels of the Bochner Laplacian, Journal of Spectral Theory 12 (2022) no1, 143-167. 

79. Abdelhadi Benahmadi, Mohammed Ziyat, Spectral asymptotics for the Landau Hamiltonian on cylindrical surfaces, Letters in Mathematical Physics 113 (2023), article number 70. 

80. Massimo Moscolari, Gianluca Panati, Ultra-generalized Wannier bases: Are they relevant to topological transport? J. Math. Phys. 64 (2023), no. 7, Paper No. 071901.

81. N.R.M. Weber, Spectral asymptotics of Landau Hamiltonians with δ-perturbations supported on curves in R2, Master thesis, TU Graz, 2023. 

82. Jacques Barbe, Spectral bounds for non-smooth perturbations of the Landau Hamiltonian, Osaka J. Math., 60 (2023), 777–797.