F. Klopp, G. Raikov, The fate of the Landau levels under perturbations of constant sign, Int. Math. Res. Notices, 2009 (2009), 4726-4734.

Cited by:

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

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

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

  4. P. Exner, H. Kovarık, Quantum Waveguides, Theoretical and Mathematical Physics, Springer, Berlin-New York, 2015.

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

  6. 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. 

  7. 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.  

  8. 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.

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

  10. Vincent Bruneau, Galina Levitina, Pablo Miranda, Singularities of the magnetic spectral shift function for potentials of variable sign. J. Spectr. Theory (2025), published online first, DOI 10.4171/JST/579.