Approximation semi-classique de l'équation de Heisenberg
Publications mathématiques et informatique de Rennes, no. 3 (1985), pp. 241-260.
@article{PSMIR_1985___3_241_0,
     author = {Wang, Xue Ping},
     title = {Approximation semi-classique de l'\'equation de Heisenberg},
     journal = {Publications math\'ematiques et informatique de Rennes},
     pages = {241--260},
     publisher = {D\'epartement de Math\'ematiques et Informatique, Universit\'e de Rennes},
     number = {3},
     year = {1985},
     zbl = {0609.35077},
     language = {fr},
     url = {http://archive.numdam.org/item/PSMIR_1985___3_241_0/}
}
Wang, Xue Ping. Approximation semi-classique de l'équation de Heisenberg. Publications mathématiques et informatique de Rennes, no. 3 (1985), pp. 241-260. http://archive.numdam.org/item/PSMIR_1985___3_241_0/

[1] : S. Albeverio-T. Arède: "The relation between quantum mechanics and classical mechanics". A savery of some mathematical aspects, to appear in Proc. Como. Conf., 1983, "Quantum Chaos", Ed. G. Casati, Plenum.

[2] :J. Chazarain: "Spectre d'un hamiltonien quantique et mécanique classique". Comm. P.D.E., 5(6) (1980) 595-644. | MR 578047 | Zbl 0437.70014

[3] : Yu. V. Egorov: "On canonical transformation of pseudo-differential operators". Usp. Mat. Nauk., 25(1969), 235-236. | Zbl 0191.43802

[4] :D. Fujiwara: "A construction of the fundamental solution for the Schrödinger equations". J. d'Anal. Math.35 (1979), 41-96. | MR 555300 | Zbl 0418.35032

[5] : G.A. Hagedorn: "Semi-classical quantum mechanics, I, the h0 limit for coherent states". Comm. Math. Phys. 71 (1980), 77-93. | MR 556903

[6] : B. Helffer-D. Robert: "Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles". J. Funct. Anal., 53 (3) (1983) 246-268. | MR 724029 | Zbl 0524.35103

[7] : K. Hepp: "The classical limits for quantum mechanical correlation functions". Comm. Math., Phys., 35(1974) 265-277. | MR 332046

[8] : H. Hogreve-J. Potthoff-R. Schrader: "Classical limits for quantum particles in Yang-Mills potentials". Comm. Math., Phys., 91(4) (1983) 573-598. | MR 727204 | Zbl 0547.58044

[9] : L. Hormander: "The Weyl calculus of pseudo-differential operators". Comm. Pure Appl. Math., 32 (1979) 359-443. | MR 517939 | Zbl 0388.47032

[10] :H. Kitada-H. Kumano-Go: "A family of Fourier integral operators and the fundjamental solution for a Schrödinger equations". Osaka, J. Math., 18 (1981) 291-360. | MR 628838 | Zbl 0472.35034

[11] : V.P. Maslov-M.V. Fedoriuk: "Semi-classical approximation in quantum mechanics". D. Reidel, Dordrecht, 1981. | Zbl 0458.58001

[12] :D. Robert: "Autour de l'approximation semi-classique". Notas de Cusso, n° 21, Recife, 1983. | Zbl 0621.35001

[13] : D. Robert-H. Tamura: "Semi-classical bounds for resolvents of Schrödinger operators and asymptotic for scattering phase". Comm. P.D.E., 9 (10) (1984) 1017-1058. | Zbl 0561.35021

[14] :R. Schrader-M. Taylor: "Small symptotics for quantum partition functions associated to particles in external Yang-Mills potentials".Comm. Math., Phys., 92 (1984), 555-594. | MR 736411 | Zbl 0534.58028

[15] : B. Simon: "The classical limit of quantum partition functions". Comm. Math. Phys., 71 (1980), 247-276. | MR 565281 | Zbl 0436.22012

[16] : M. Sirgue-A. Sirgue-Collin-A. Truman: "Semi-classical approximation and microcanonical ensemble". Ann. Inst. H. Poincaré, 41 (4) (1984), 429-444. | EuDML 76268 | Numdam | MR 777915 | Zbl 0592.58048

[17] : X.P. Wang: "Comportement semi-classique de traces partielles". C.R. Acad. Sc. Paris, 299 (17) (1984), 867-870. | MR 777750 | Zbl 0573.47046

[18] : X.P. Wang: "Asymptotic behaviour of spectral means for pseudofifferential operators". A paraître J. Approx. Theory Appl. (1985). | Zbl 0595.47036

[19] :X.P. Wang: "Etude semi-classique d'observables quantiques". A paraître. | Numdam | Zbl 0597.35028

[20] : X.P. Wang: "Time-delay operators in semi-classical limit". Exposé Séminaire d'Analyse Fonctionnelle, Univ. Rennes, (1985). | Zbl 0714.35064