Formule de trace et applications

Mouez Dimassi

Journées équations aux dérivées partielles (1997)

  • page 1-9
  • ISSN: 0752-0360

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Dimassi, Mouez. "Formule de trace et applications." Journées équations aux dérivées partielles (1997): 1-9. <http://eudml.org/doc/93348>.

@article{Dimassi1997,
author = {Dimassi, Mouez},
journal = {Journées équations aux dérivées partielles},
keywords = {trace formula for semiclassical pseudodifferential operators; asymptotics for the counting function of eigenvalues; perturbations of the Schrödinger operator},
language = {fre},
pages = {1-9},
publisher = {Ecole polytechnique},
title = {Formule de trace et applications},
url = {http://eudml.org/doc/93348},
year = {1997},
}

TY - JOUR
AU - Dimassi, Mouez
TI - Formule de trace et applications
JO - Journées équations aux dérivées partielles
PY - 1997
PB - Ecole polytechnique
SP - 1
EP - 9
LA - fre
KW - trace formula for semiclassical pseudodifferential operators; asymptotics for the counting function of eigenvalues; perturbations of the Schrödinger operator
UR - http://eudml.org/doc/93348
ER -

References

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  1. [ADH] S. Alama, P.A. Deift and R. Hempel, Eigenvalue branches of the Schrödinger operator, Commun. Math. Phys. 121, 291-321 (1989). Zbl0676.47032MR90e:35046
  2. [AvSi] J. Avron, B. Simon, Stability of gaps for periodic potentials under variation of a magnetic field. J. Phys. A : Math. Gen. 18(2) 2199-2205. Zbl0586.35084MR87e:81039
  3. [Be] R. Beals, Characterization of pseudo-differential operators and applications, Duke Math. J. vol. 44 (1), (1977), p. 45-57. Zbl0353.35088MR55 #8884
  4. [Bi] M. Birman, Discrete spectrum in the gap of the continuous one in the large coupling limit, Oper. Theory : Adv. App. (46), (1990), 17-25. Zbl0773.35047MR92j:47091
  5. [Bu] V.S. Buslaev, Semi-classical approximation for equations with periodic coefficients. Russian. Math. Surveys. 42 (6), 97-125 (1987). Zbl0698.35130MR89i:81024
  6. [C] J. Chazarin, Spectre d'un hamiltonien quantique et mécanique classique, Comm. Partial. Diff Eq 6 (1980), 595-644. Zbl0437.70014
  7. [Di1] M. Dimassi, Développements asymptotiques des perturbations lentes de l'opérateur de Schrödinger périodique, Comm. P.D.E 18(56) (1993), 771-803. Zbl0784.35071MR94i:35145
  8. [Di2] M. Dimassi, Trace formula and some application. Preprint Université Paris-Nord. Zbl0932.35157
  9. [DiSj] M. Dimassi, J. Sjöstrand, Trace asymptotics via almost analytic extensions. Partial differential equations and Mathematical physics. The Danish-Swedish Analysis. Seminaire 1995 (126-142). Zbl0864.35078
  10. [GMS] C. Gérard, A. Martinez, J. Sjöstrand, A Mathematical Approach to the effective Hamiltonian in perturbed periodic Problems. Commun. Math. Phys. Comm. Math. Phys. 142, 217-244 (1991). Zbl0753.35057MR93a:47079
  11. [GRT] J.L. Guillot, J. Ralston, E. Trubowitz, Semi-classical methods in solid state physics. Commun. Math. Phys. 116, 401-415 (1988). Zbl0672.35014MR90a:81025
  12. [HeRo] B. Helffer, D. Robert, Calcul fonctionnel par la transformation de Melin et opérateurs admissibles, J. Funct. Ana. 53 no 3 (1983), 246-268. Zbl0524.35103MR85i:47052
  13. [HeSj1] B. Helffer, J. Sjöstrand, On diamagnetisme and de Hass-Van Alphen effect, Ann. I.H.P, vol.52, (1990), p.303-375. Zbl0715.35070
  14. [HeSj2] B. Helffer, J. Sjöstrand, Analyse semi-classique pour l'équation de Harper (avec application à l'équation de Schrödinger avec champ magnétique. Mémoires SMF (34) 1988. Zbl0714.34130
  15. [Hö] L. Hörmander, Lecture notes at the Nordic Summer School of Mathematics. 1969. 121 (1968), 173-218. 
  16. [I] V. Ivrii, Semiclassical microlocal analysis and precise spectral asymptotics, Preprints from École Polytechnique, no 1 (1990), no 2-6 (1991), no 7-9 (1992). Zbl0839.35092

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