Sections efficaces dans le problème à N-corps
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1992-1993), Talk no. 7, 9 p.
@article{SEDP_1992-1993____A7_0,
     author = {Wang, X. P.},
     title = {Sections efficaces dans le probl\`eme \`a $N$-corps},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
     note = {talk:7},
     publisher = {Ecole Polytechnique, Centre de Math\'ematiques},
     year = {1992-1993},
     mrnumber = {1240548},
     language = {fr},
     url = {http://www.numdam.org/item/SEDP_1992-1993____A7_0/}
}
TY  - JOUR
AU  - Wang, X. P.
TI  - Sections efficaces dans le problème à $N$-corps
JO  - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz"
N1  - talk:7
PY  - 1992-1993
DA  - 1992-1993///
PB  - Ecole Polytechnique, Centre de Mathématiques
UR  - http://www.numdam.org/item/SEDP_1992-1993____A7_0/
UR  - https://www.ams.org/mathscinet-getitem?mr=1240548
LA  - fr
ID  - SEDP_1992-1993____A7_0
ER  - 
%0 Journal Article
%A Wang, X. P.
%T Sections efficaces dans le problème à $N$-corps
%J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz"
%Z talk:7
%D 1992-1993
%I Ecole Polytechnique, Centre de Mathématiques
%G fr
%F SEDP_1992-1993____A7_0
Wang, X. P. Sections efficaces dans le problème à $N$-corps. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1992-1993), Talk no. 7, 9 p. http://www.numdam.org/item/SEDP_1992-1993____A7_0/

[1] W.O. Amrein, J.M. Jauch and K.B. Sinha, Scattering Theory in Quantum Mechanics, W.A. Benjamin, Reading, Mass., 1977. | MR | Zbl

[2] W.O. Amrein, D.B. Pearson and K.B. Sinha, Bounds on the total scattering cross section for N-body systems. Nuovo Cimento, 52 A (1979), 115-131. | MR

[3] H. Cycon, R. Froese, W. Kirsch and B. Simon, Schrödinger Operators, Texts and Monographs in Physics, Springer Vertag. 1987. | MR | Zbl

[4] V. Enss and B. Simon, Finite total cross-sections in nonrelativistic quantum mechanics, Commun. in Math. Phys., 76(1980), 177-209. | MR | Zbl

[5] W. Hunziker, Potential scattering at high energies, Helv. Phys. Acta 36(1963), 838-856. | MR

[6] H. Isozaki, Structure of S-matrices for three body Schrödinger operators, Comm. Math. Phys., 146(1992), 241-258. | MR | Zbl

[7] H. Ito, High energy behavior of total scattering cross sections for 3-body quantum systems, preprint | MR | Zbl

[8] A. Jensen, The scattering cross section and its Born approximation at high energies, Helv. Phys. Acta 53 (1980), 398-403. | MR

[9] L.D. Landau and E.M. Lifchitz, Quantum Mechanics, Nonrelativistic Theory, Pergmon Press, Oxford, 1965.

[10] P. Perry, I.M. Sigal and B. Simon, Spectral analysis of N-body Schrödinger operators, Ann. of Math., 114 (1981), 519-567. | MR | Zbl

[11] M. Reed and B. Simon, Methods of Modem Mathematical Physics, IV. Analysis of Operators, Académie Press, Nev York, 1978. | MR | Zbl

[12] D. Robert and H. Tamura, Semiclassical estimates for resolvents and asymptotics for total scattering cross sections, Ann. Inst. H. Poincaré, 46(1987), 415-442. | Numdam | MR | Zbl

[13] D. Robert and X.P. Wang, Pointwise semiclassical asymptotics for total cross sections in N-body problems, preprint 1992, Univ. Nantes.

[14] I.M. Sigal and A. Soffer, The N-particle scattering problem: asymptotic completene for short range systems, Ann. of Math. 126(1987), 35-108. | MR | Zbl

[15] E. Skibsted, Smoothness of N-body scattering amplitudes, preprint 1992, Univ. Aarhus. | MR | Zbl

[16] A. Sobolev, D.R. Yafaev, On the quasiclassical limit of total scattering cross-section in non-relativistic quantum mechanics, Ann. Inst. H. poincaré, 44(1956), 195-210. | Numdam | MR | Zbl

[17] X.P. Wang, On the three-body long-rangé scattering problems, Lett. in Math. Phys., 25(1992), 267-276. | MR | Zbl

[18] X.P. Wang, Microlocal résolvent estimates of N-body Schrödinger operators, preprint 1992, Univ. Nantes.

[19] X.P. Wang, Total cross sections in N-body problems: finiteness and high energy asymptotics, preprint 1992, Univ. Nantes. | MR | Zbl

[20] D.R. Yafaev, The eikonal approximation for the Schrödinger equation, Proc. of the Steklov Inst. Math., 179(2) (1989), 251-266. | MR | Zbl