Effet Zeeman pour un électron de Dirac

G. Hachem

Annales de l'I.H.P. Physique théorique (1993)

  • Volume: 58, Issue: 1, page 105-123
  • ISSN: 0246-0211

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Hachem, G.. "Effet Zeeman pour un électron de Dirac." Annales de l'I.H.P. Physique théorique 58.1 (1993): 105-123. <http://eudml.org/doc/76595>.

@article{Hachem1993,
author = {Hachem, G.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {spectral theory; Dirac operator; Limiting Absorption Principle; perturbations; decay of scattering states; Zeeman effect; energy levels; atom; magnetic field},
language = {fre},
number = {1},
pages = {105-123},
publisher = {Gauthier-Villars},
title = {Effet Zeeman pour un électron de Dirac},
url = {http://eudml.org/doc/76595},
volume = {58},
year = {1993},
}

TY - JOUR
AU - Hachem, G.
TI - Effet Zeeman pour un électron de Dirac
JO - Annales de l'I.H.P. Physique théorique
PY - 1993
PB - Gauthier-Villars
VL - 58
IS - 1
SP - 105
EP - 123
LA - fre
KW - spectral theory; Dirac operator; Limiting Absorption Principle; perturbations; decay of scattering states; Zeeman effect; energy levels; atom; magnetic field
UR - http://eudml.org/doc/76595
ER -

References

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  1. [B-A; D] M. Ben-Artzi et A. Devinatz, Limiting Absorption Principle for Partial Differential Operators, Memoirs A.M.S., vol. 66, 1987, p. 364. Zbl0624.35068MR878907
  2. [C] P.R. Chernoff, Schrödinger and Dirac Operators with singular potentials and hyperbolic equations, Pacific J. Math., vol. 72, 1977, p. 361-382. Zbl0366.35031MR510049
  3. [F] M. Fedoriouk, Méthodes asymptotiques pour les équations différentielles ordinaires linéaires, Mir, Moscou, 1987. 
  4. [G] F.D. Gakhov, Boundary Value Problems, Pergamon Press, London, 1966. Zbl0141.08001MR198152
  5. [H] H. Hachem, Théorie Spectrale de l'Opérateur de Dirac avec un potentiel électromagnétique à croissance linéaire à l'infini, Thèse, Université Paris-Nord, 1988. 
  6. [H1] G. Hachem, Spectral theory for Dirac operators with a Stark potential, J. Math. Pures et Appliquées, vol. 71, 1992, p. 293-329. Zbl0678.34063MR1176014
  7. [He] B. Helfer, J. Nourrigat et X.P. Wang, Sur le spectre de l'équation de Dirac avec champ magnétique, Ann. Sci. École Norm. Sup. vol. 22, 1989, p. 515-533. Zbl0703.35127MR1026748
  8. [K] T. Kato, Perturbation theory for linear operators, Springer, Berlin, 1966. Zbl0148.12601
  9. [L-L] L. Landau et E. Lifchitz, Théorie quantique relativiste, 1re partie, Mir, Moscou, 1972. Zbl0144.47605
  10. [L-M] J.J. Lions et E. Magenes, Problèmes aux limites non homogènes, Dunod, Paris, 1966. Zbl0152.10201

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