Alexander Pushnitski, Georgi Raikov, Carlos Villegas-Blas, Asymptotic density of eigenvalue clusters for the perturbed Landau Hamiltonian, Communications in Mathematical Physics 320 (2013), 425 - 453. 

Cited by:

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

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

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

  4. James P. Oldfield, Two-term Szegő theorem for generalised anti-Wick operators, Ph.D. Thesis, University College London, 2015. 

  5. D. Sambou, A criterion for the existence of nonreal eigenvalues for a Dirac operator, New York J. Math. 22 (2016), 469-500.

  6. M. Ruzhansky, N. Tokmagambetov, Very weak solutions of wave equation for Landau Hamiltonian with irregular electromagnetic field, Letters Math. Phys. 107 (2017), 591–616.

  7. J.-C. Cuenin, Sharp spectral estimates for the perturbed Landau Hamiltonian with Lp potentials, Integr. Equ. Oper. Theory 88 (2017), 127-141.

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

  9. M. Ruzhansky, N. Tokmagambetov, Wave equation for operators with discrete spectrum and irregular propagation speed, Arch. Rational Mech. Anal. 226 (2017), 1161–1207. 

  10. M. Ruzhansky, N. Tokmagambetov, Wave equation for 2D Landau Hamiltonian, Applied and Computantional Mathematics, 18 (2019), 69-78. 

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

  12. 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. 

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

  14. 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. 

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

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

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