Formule de trace et applications
Journées équations aux dérivées partielles, (1997), article no. 6, 9 p.
@article{JEDP_1997____A6_0,
     author = {Dimassi, Mouez},
     title = {Formule de trace et applications},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     publisher = {Ecole polytechnique},
     year = {1997},
     zbl = {01808666},
     mrnumber = {1482273},
     language = {fr},
     url = {http://www.numdam.org/item/JEDP_1997____A6_0}
}
Dimassi, Mouez. Formule de trace et applications. Journées équations aux dérivées partielles,  (1997), article  no. 6, 9 p. http://www.numdam.org/item/JEDP_1997____A6_0/

[ADH] S. Alama, P.A. Deift and R. Hempel, Eigenvalue branches of the Schrödinger operator, Commun. Math. Phys. 121, 291-321 (1989). | MR 90e:35046 | Zbl 0676.47032

[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. | MR 87e:81039 | Zbl 0586.35084

[Be] R. Beals, Characterization of pseudo-differential operators and applications, Duke Math. J. vol. 44 (1), (1977), p. 45-57. | MR 55 #8884 | Zbl 0353.35088

[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. | MR 92j:47091 | Zbl 0773.35047

[Bu] V.S. Buslaev, Semi-classical approximation for equations with periodic coefficients. Russian. Math. Surveys. 42 (6), 97-125 (1987). | MR 89i:81024 | Zbl 0698.35130

[C] J. Chazarin, Spectre d'un hamiltonien quantique et mécanique classique, Comm. Partial. Diff Eq 6 (1980), 595-644. | Zbl 0437.70014

[Di1] M. Dimassi, Développements asymptotiques des perturbations lentes de l'opérateur de Schrödinger périodique, Comm. P.D.E 18(56) (1993), 771-803. | MR 94i:35145 | Zbl 0784.35071

[Di2] M. Dimassi, Trace formula and some application. Preprint Université Paris-Nord. | Zbl 0932.35157

[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). | Zbl 0864.35078

[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). | MR 93a:47079 | Zbl 0753.35057

[GRT] J.L. Guillot, J. Ralston, E. Trubowitz, Semi-classical methods in solid state physics. Commun. Math. Phys. 116, 401-415 (1988). | MR 90a:81025 | Zbl 0672.35014

[HeRo] B. Helffer, D. Robert, Calcul fonctionnel par la transformation de Melin et opérateurs admissibles, J. Funct. Ana. 53 no 3 (1983), 246-268. | MR 85i:47052 | Zbl 0524.35103

[HeSj1] B. Helffer, J. Sjöstrand, On diamagnetisme and de Hass-Van Alphen effect, Ann. I.H.P, vol.52, (1990), p.303-375. | Numdam | Zbl 0715.35070

[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. | Numdam | Zbl 0714.34130

[Hö] L. Hörmander, Lecture notes at the Nordic Summer School of Mathematics. 1969. 121 (1968), 173-218.

[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). | Zbl 0839.35092