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• 1. A. Grigis, F. Klopp, Valeurs propres et résonances au voisinage d’un seuil, Bull. SMF 124 (1996) 477-501.

  2. M. Möller, Holomorphic dependence of eigenvalues of operators in Banach spaces. In: Operator theory, operator algebras and related topics (Timisoara, 1996), 179-191; Theta Found., Bucharest, 1997.

  3. S. I. Boyarchenko, S. Z. Levendorskii, Precise spectral asymptotics for perturbed magnetic Schrödinger operator, J. Math. Pures Appl. 76 (1997), 211-236.

  4. 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.

  5. Y. E. Karpeshina, Perturbation theory for the Schrödinger operator with a periodic potential, Lect. Notes Math. 1663 (1997), Springer, Berlin-Heidelberg-New York.

  6. S. Z. Levendorskii, The Floquet theory for the Schrödinger operator with a perturbed periodic potential and precise spectral asymptotics, Russian Mathematical Doklady 56 (1997), 488-491.

  7. P. Kuchment, B. Vainberg, On embedded eigenvalues of perturbed periodic Schrödinger operators, In: Spectral and scattering theory (Newark, DE, 1997), 67–75, Plenum, New York, 1998.

  8. S. Z. Levendorskii, Asymptotic formulae with remainder estimates for eigenvalue branches of the Schrödinger operator H−λW in a gap of H, Trans. Amer. Math. Soc. 351 (1999), 857-899.

  9. T. Weidl, Eigenvalue asymptotics for locally perturbed second order differential operators, J. London Math. Soc. 59 (1999), 227-251.

  10. F. Klopp, J. Ralston, Endpoints of the spectrum of periodic operators are generally simple, In: M.A.A., volume 7 dedicated to C. Morawetz, (2000), 459-464.

  11. P. Kuchment, B. Vainberg, On absence of embedded eigenvalues for Schrödinger operators with perturbed periodic potentials, Commun. P.D.E. 25 (2000), 1809-1826. 

  12. 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. 

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

  14. N. Dombrowski, P. D. Hislop, E. Soccorsi, Edge currents and eigenvalue estimates for magnetic barrier Schrödinger operators, Asymptotic Anal. 89 (2014), 331-363.

  15. 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.

  16. P. D. Hislop, N. Popoff, N. Raymond, M. P. Sundqvist, Band functions in the presence of magnetic steps, Math. Models Methods Appl. Sci. 26 (2016), 161-184. 

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

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

  19. P. Miranda, N. Popoff, Band functions of Iwatsuka models: power-like and flat magnetic fields, Rev. Roumaine Math. Pures Appl. 64 (2019), no. 2. 

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

  21. M. Dimassi, Elliptic differential operators with periodic and oscillating decaying coefficients, in: Operator Theory, Aref Jeribi ed., De Gruyter, 2021, pp.1-24 DOI: https://doi.org/10.1515/9783110598193-001