G. D. Raikov, Strong-electric-field eigenvalue asymptotics for the perturbed magnetic Schrödinger operator, Comm. Math. Phys. 155 (1993), 415 - 428.

Cited by: 

• 1. S. Z. Levendorskii, The asymptotics for the number of eigenvalue branches for the magnetic Schrödinger operator H − λW in a gap of H, Math. Z. 223 (1996), 609-626. 

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

  3. R. Hempel, S. Z. Levendorskii, On eigenvalues in gaps for perturbed magnetic Schrödinger operators, J. Math. Phys. 39 (1998), 63-78. 

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

  5. M. Dimassi, Développements asymptotiques de l’opérateur de Schrödinger avec champs magnétique fort, Commun. P.D.E. 26 (2001), 595-627. 

  6. R. Hempel, A. Besch, Magnetic barriers of compact support and eigenvalues in spectral gaps, Electr. J. Diff. Eq. 2003 (2003), No. 48, pp. 1-25. 

  7. V. Ivrii, Sharp spectral asymptotics for the magnetic Schrödinger operator with irregular potential, Russian J. Math. Phys. 11 (2004), 415-428. 

  8. S. Shirai, Strong-electric-field eigenvalue asymptotics for the Iwatsuka model, J. Math. Phys. 46 (2005), 052112 (22 pages).  

  9. C. Tretter, Spectral Theory of Block Operator Matrices and Applications, Imperial College Press, London, 2008.

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

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

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

  13. 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.

  14. V. Bruneau, The Spectral Shift Function for Quantum Hamiltonians, Preprint 2025, to appear in Panoramas et Synthèses, SMF.