Développements asymptotiques des perturbations lentes de l'opérateur de Schrödinger périodique

Mouez Dimassi

Séminaire Équations aux dérivées partielles (Polytechnique) (1991-1992)

  • page 1-11

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Dimassi, Mouez. "Développements asymptotiques des perturbations lentes de l'opérateur de Schrödinger périodique." Séminaire Équations aux dérivées partielles (Polytechnique) (1991-1992): 1-11. <http://eudml.org/doc/112027>.

@article{Dimassi1991-1992,
author = {Dimassi, Mouez},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {semiclassical analysis; trace formula; slow perturbation; asymptotic expansion; periodic Schrödinger operator; Floquet spectral band},
language = {fre},
pages = {1-11},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Développements asymptotiques des perturbations lentes de l'opérateur de Schrödinger périodique},
url = {http://eudml.org/doc/112027},
year = {1991-1992},
}

TY - JOUR
AU - Dimassi, Mouez
TI - Développements asymptotiques des perturbations lentes de l'opérateur de Schrödinger périodique
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1991-1992
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 11
LA - fre
KW - semiclassical analysis; trace formula; slow perturbation; asymptotic expansion; periodic Schrödinger operator; Floquet spectral band
UR - http://eudml.org/doc/112027
ER -

References

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  5. [Gu Ra T] Guillot - J. Rabiton - Trubowitz: Semi-classical method in solid state physics. Comm. Math. Phy.116, (1988) 401-415. Zbl0672.35014MR937768
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  7. [2] Analyse semi-classique pour l'équation de Harper. Bull. S.M.F. Mémoire n°34, T 116, Fasc. 4 (1988). 
  8. [3] On diamagnetisme and de Haas - Van Alphem effect, Ann. Inst, Henri Poincarré (physique théorique) Vol 52, n°4, (1990). 303-375. Zbl0715.35070MR1062904
  9. [Ne] C. Nencin [1] Stability of energy gap under variation of the magnetic field letters inMathematical physics11 (1986), 127-132. Zbl0607.46049MR836066
  10. [2] Existence of the exponentially localised Wannik fonction. Comm. in Math. Phy.91, (1983), 81-85. MR719812
  11. [Av Si] J. Avron - B. Simon: Stability of gaps for periodic potentials under variation of a magnetic field. J. Phy. A. Math. Gen.18, (1985) 2199-2205. Zbl0586.35084MR804317
  12. [Sj] J. Sjöstrand: Microlocal analysis for the periodic magnetic Schrödinger equation and related questions C.I.M.E. lectures Eté 1989, 237-332, Springer L.N. in Math1495 (1991). Zbl0761.35090MR1178559

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