M. Dimassi, G. D. Raikov, Spectral asymptotics for quantum Hamiltonians in strong magnetic fields, Cubo Matemática Educacional 3 (2001), 317 - 391.
Cited by:
Y. P. Chuburin, The spectrum and eigenfunctions of the two-dimensional Schrödinger operator with a magnetic field, Theor. Math. Phys. 134 (2003), 212-221.
L. Michel, Scattering amplitude and scattering phase for the Schrödinger equation with strong magnetic field, J. Math. Phys. 46 (2005), 043514 (18 pages).
L. Amour, B. Grébert, J.-C. Guillot, L’électron habillé non relativiste dans un champ magnétique, C.R.Acad. Sci. Paris I 340 (2005), 421-426.
L. Michel, Scattering amplitude for the Schrödinger equation with strong magnetic field and strong electric potential, Int. Math. Res. Not. 2005 (2005), 3005-3053.
L. Michel, Scattering amplitude for the Schrödinger equation with strong magnetic field, In: Journes Equations aux Drives Partielles, Forges-les-Eaux, 2005, Exposé VIII, Ecole Polytechnique, Palaiseau (2005).
M. Mantoiu, R. Purice, The mathematical formalism of a particle in a magnetic field, In: Mathematical Physics of Quantum Mechanics, Lecture Notes in Physics 690 (2006), 417-434.
L. Amour, B. Grébert, J.-C. Guillot, The dressed nonrelativistic electron in a magnetic field, Math. Meth. Appl. Sci. 29 (2006), 1121 - 1146.
A. Sourisse, Propriétés spectrales de l’opérateur de Dirac avec un champ magnétique intense, Thèse de Doctorat, Université de Nantes, 2006.
R. L. Frank, On the asymptotic number of edge states for magnetic Schrödinger operators, Proceedings LMS, 95 (2007), 1-19.
V. Iftimie, M. Mantoiu, R.Purice, Magnetic pseudodifferential operators, Publ. RIMS, Kyoto Univ. 43 (2007) 585-623.
A. Khochman, Résonances et diffusion pour les opérateurs de Dirac et de Schrödinger magnétique, Thèse de Doctorat, Université Bordeaux 1, 2008.
Ph. Briet, The integrated density of states for magnetic Schrödinger operators, Commun. Math. Anal. 2008 (2008), Conference 2, 21–31.
V. Iftimie, M. Mantoiu, R. Purice, The magnetic formalism; new results, In: Spectral and scattering theory for quantum magnetic systems. Proceedings of the conference, CIRM, 2008. Providence, RI: American Mathematical Society (AMS), Contemporary Mathematics 500, 123-137 (2009).
L. Michel, Quelques Résultats en Analyse Semiclassique, Mémoire d’Habilatation à Diriger les Recherches, Université de Nice, 2010.
D. Sambou, Accumulation spectrale pour les Hamiltoniens quantiques magnétiques, Thèse de Doctorat, Université de Bordeaux 1, 2013.
D. Sambou, Lieb-Thirring type inequalities for non-self-adjoint perturbations of magnetic Schrödinger operators, J. Funct. Anal. 266 (2014), 5016–5044.
D. Elton, Approximate zero modes for the Pauli operator on a region, J. Spectr. Theory 6 (2016), 373-413.
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.
D. Sambou, On eigenvalue accumulation for non-self-adjoint magnetic operators, Journal de Mathématiques Pures et Appliquées 108 (2017), 306–332.
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.
Paul Geniet, On a quantum Hamiltonian in a unitary magnetic field with axisymmetric potential, Journal of Mathematical Physics 61 (2020), 082104.
Paul Geniet, Analyse spectrale de quelques opérateurs de Schrödinger magnétiques fibrés, Thèse de doctorat de l'Université de Bordeaux, 2020.
Hawraa YAZBEK, Problèmes de transmission et théorie spectrale (Transmission Problems and Spectral Theory), Ph.D. thesis, Université de Bordeaux, 2023.
W. Liu, C. Wang, X. Zhao, On action ground states of defocusing nonlinear Schrödinger equations, Preprint arXiv:2311.02890, 2023.