G. D. Raikov, Spectral asymptotics for the perturbed 2D Pauli operator with oscillating magnetic fields. I. Non-zero mean value of the magnetic field, Markov Processes and Related Fields 9 (2003), 775 - 794.

Cited by:

  1. N. Ueki, On the integrated density of states of random Pauli Hamiltonians, J. Math. Kyoto Univ. 44 (2004), 615–653.

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

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

  4. A. Sourisse, X. P. Wang, Asymptotique à l’infini du spectre discret de l’opérateur de Dirac avec champ magnétique, Asymptotic Anal. 55 (2007), 203-228.

  5. 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.

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

  7. 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).

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

  9. 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.

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

  11. 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.

  12. D. Sambou, A simple criterion for the existence of nonreal eigenvalues for a class of 2D and 3D Pauli operators, Linear Algebra Appl., 529, (2017) 51-88.

  13. D. Sambou, A. Taarabt, Eigenvalues behaviours for self-adjoint Pauli operators with unsigned perturbations and admissible magnetic fields, C. R. Acad. Sci. Paris, Ser. I 365 (2017), 553-558.

  14. B. Helffer, M. Persson Sundqvist, On the semiclassical analysis of the ground state energy of the Dirichlet Pauli operator in non-simply connected domains, Problems of Mathematical Analysis 89 (2017) 175–185 (Russian); English translation in: Journal of Mathematical Sciences 226 (2017), 531–544.

  15. Léo Morin, Analyse spectrale semiclassique du Laplacien magnétique : étude des états semi-excités par formes normales de Birkhoff, thèse de doctorat, Université Rennes 1, 2021.