@article{ASENS_1996_4_29_2_149_0, author = {Nier, Francis}, title = {A semi-classical picture of quantum scattering}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, volume = {29}, year = {1996}, pages = {149-183}, doi = {10.24033/asens.1738}, mrnumber = {97a:81044}, zbl = {0858.35106}, language = {en}, url = {http://dml.mathdoc.fr/item/ASENS_1996_4_29_2_149_0} }
Nier, Francis. A semi-classical picture of quantum scattering. Annales scientifiques de l'École Normale Supérieure, Tome 29 (1996) pp. 149-183. doi : 10.24033/asens.1738. http://gdmltest.u-ga.fr/item/ASENS_1996_4_29_2_149_0/
[1] Foundation of Mechanics, Addison Wesley, 1985.
and ,[2] Scattering Theory in Quantum Mechanics, W. A. Benjamin, 1977. | MR 58 #14631 | Zbl 0376.47001
, and ,[3] The Schrödinger Equation, volume 66 of Mathematics and its Applications, Kluwer Academic Publishers, 1991. | MR 93i:81001 | Zbl 0749.35001
and ,[4] Second Microlocalization and Propagation of Singularities for Semi-linear Hyperbolic Equations (Hyperbolic Equations and Related Topics, Mizohata ed. Kinokuya, 1986, pp. 11-49). | MR 89e:35099 | Zbl 0669.35073
,[5] Espaces fonctionnels associés au calcul de Weyl-Hörmander (Bull. Soc. Math. France, 1994, pp. 77-118). | Numdam | MR 95a:35152 | Zbl 0798.35172
and ,[6] Quantification asymptotique et microlocalisation d'ordre supérieur I (Ann. Scient. Ec. Norm. Sup., 4e série, Vol. 22, 1989, pp. 377-433). | Numdam | MR 90k:35276 | Zbl 0753.35005
and ,[7] Operator Algebras and Quantum Statistical Physics, Springer-Verlag, 1979-1981.
and ,[8] Mécanique Quantique, Hermann, 1973.
, and ,[9] Inverse Scattering on the Line (Comm. on Pure and Applied Math., Vol. 32, 1979, pp. 121-251). | MR 80e:34011 | Zbl 0388.34005
and ,[10] Asymptotic Completeness of N-Particles Systems, Springer Verlag, to appear.
and ,[11] Les C*-algèbres et leurs représentations, Gauthier-Villars, 1964. | MR 30 #1404 | Zbl 0152.32902
,[12] Scattering into Cones 1 : Potential Scattering (Commun. in Math. Phys., Vol. 12, 1969, pp. 193-203).
,[13] Oscillatory Integrals, Lagrange Immersions and Unfolding of Singularities (Comm. on Pure and Applied Math., Vol. 27, 1974, pp. 207-281). | MR 53 #9306 | Zbl 0285.35010
,[14] Semi-Classical Approximation in Quantum Mechanics, Reidel Publishing Company, 1985.
and ,[15] Équation de la chaleur et mesures semi-classiques, Thèse, Univ. Paris XI, 1994.
,[16] Mesures semi-classiques et ondes de Bloch (Séminaire EDPX 1990-1991, (16)). | Numdam | Zbl 0739.35096
,[17] Ergodic Properties of Eigenfunctions for the Dirichlet Problem (Duke Math. J., Vol. 71 (2), 1993, pp. 559-607). | MR 94i:35146 | Zbl 0788.35103
and ,[18] Ergodicité et limite semi-classique (Commun. in Math. Phys., Vol. 109, 1987, pp. 313-326). | MR 88e:81029 | Zbl 0624.58039
, and ,[19] Équation de Harper (Lect. Notes in Physics, Vol. 345, 1989, pp. 118-197). | Zbl 0699.35189
and ,[20] The Analysis of Linear Partial Differential Operators, volume 3, Springer Verlag, 1985. | Zbl 0601.35001
,[21] A Remark on the Microlocal Resolvent Estimates for Two-Body Schrödinger Operators (RIMS Kyoto University, 1985). | Zbl 0611.35090
and ,[22] Scattering Matrices for Two-Body Schrödinger Operators (Sci. Papers College Arts Sci. Univ. Tokyo, Vol. 35, 1985, pp. 81-107). | MR 87k:35196 | Zbl 0615.35065
and ,[23] Sur les mesures de Wigner (Rev. Mat. Iberoamericana, Vol. 9 (3), 1993, pp. 553-618). | MR 95a:58124 | Zbl 0801.35117
and ,[24] Mécanique Quantique, Dunod, 1965.
,[25] Schrödinger-Poisson Systems in dimension d ≤ 3 : the whole space case (Proc. Roy. Soc. Edin., Vol. 123 A, 1993, pp. 1179-1201). | MR 94m:35217 | Zbl 0807.35119
,[26] Asymptotic Analysis of a Scaled Wigner Equation (Transp. Theory Stat. Phys., Vol. 24 (4-5), 1995, pp. 591-628). | MR 96c:82039 | Zbl 0870.45003
,[27] Methods of Modern Mathematical Physics, Acad. Press, 1975.
and ,[28] Autour de l'approximation semi-classique, volume 68 of Progress in Mathematics, Birkhaüser, 1987. | MR 89g:81016 | Zbl 0621.35001
,[29] Quantum Mechanics of Atoms and Molecules, volume 3 of A Course in Mathematical Physics, Springer-Verlag, 1979. | Zbl 0462.46046
,[30] Time-Delay Operators in the Semi-classical Limit. II. Short-range Potentials (Trans. Am. Math. Soc., Vol. 322(1), 1990, pp. 395-415). | Zbl 0714.35064
,[31] Functional Analysis, volume 123 of Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, Springer-Verlag, 1968. | MR 39 #741 | Zbl 0217.16001
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