no. 1
High energy asymptotics for N-body scattering matrices with arbitrary channels
Annales de l'I.H.P. Physique théorique, Tome 65 (1996) no. 1, pp. 81-108. 
@article{AIHPA_1996__65_1_81_0,
     author = {Wang, X. P.},
     title = {High energy asymptotics for {N-body} scattering matrices with arbitrary channels},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {81--108},
     publisher = {Gauthier-Villars},
     volume = {65},
     number = {1},
     year = {1996},
     mrnumber = {1407167},
     zbl = {0858.35096},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1996__65_1_81_0/}
}
TY  - JOUR
AU  - Wang, X. P.
TI  - High energy asymptotics for N-body scattering matrices with arbitrary channels
JO  - Annales de l'I.H.P. Physique théorique
PY  - 1996
SP  - 81
EP  - 108
VL  - 65
IS  - 1
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPA_1996__65_1_81_0/
LA  - en
ID  - AIHPA_1996__65_1_81_0
ER  - 
%0 Journal Article
%A Wang, X. P.
%T High energy asymptotics for N-body scattering matrices with arbitrary channels
%J Annales de l'I.H.P. Physique théorique
%D 1996
%P 81-108
%V 65
%N 1
%I Gauthier-Villars
%U http://archive.numdam.org/item/AIHPA_1996__65_1_81_0/
%G en
%F AIHPA_1996__65_1_81_0
Wang, X. P. High energy asymptotics for N-body scattering matrices with arbitrary channels. Annales de l'I.H.P. Physique théorique, Tome 65 (1996) no. 1, pp. 81-108. http://archive.numdam.org/item/AIHPA_1996__65_1_81_0/

[1] S. Agmon and L. Hörmander, Asymptotic properties of solutions of differential equations with simple characteristics, J. Analyse Math., Vol. 30, 1976, pp. 1-38. | 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, Vol. 52A, 1979, pp. 115-131. | MR

[3] W.O. Amrein and K.B. Sinha, On three-body scattering cross sections, J. Phys. A: Math. Gen., Vol. 15, 1982, pp. 1567-1586. | MR | Zbl

[4] A. Bommier, Régularité et prolongement méromorphe de la matrice de diffusion pour les problèmes à N-corps à longue portée, Thèse de Doctorat, École Polytechnique, 1993. | MR

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

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

[7] C. Gérard, H. Isozaki and E. Skibsted, Commutator algebra and resolvent estimates, preprint 1993. | MR

[8] W. Hunziker, Potential scattering at high energies, Helv. Phys. Acta, Vol. 36, 1963, pp. 838-856. | MR

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

[10] H.T. Ito, High energy behavior of total scattering cross sections for 3-body quantum systems, preprint 1992. | MR | Zbl

[11] H.T. Ito and H. Tamura, Semi-classical asymptotics for total scattering cross sections of 3-body systems, J. Math. Kyoto Univ., Vol. 32, 1992, pp. 533-555. | MR | Zbl

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

[13] R. Novikov, Le problème de scattering inverse pour les systèmes à trois corps, exposé au Séminaire des E.D.P., Univ. de Nantes, Mai 1994.

[14] M. Reed and B. Simon, Methods of Modern Mathematical Physics, IV. Analysis of Operators, Academic Press, New York, 1978. | MR | Zbl

[15] D. Robert, Asymptotique de la phase de diffusion à haute énergie pour des perturbations du second ordre du Laplacien, Ann. Sci. École Norm. Sup., Vol. 25, 1992, pp. 107-134. | EuDML | Numdam | MR | Zbl

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

[17] D. Robert and X.P. Wang, Pointwise semiclassical asymptotics for total cross sections in N-body problems, preprint 1992, Univ. Nantes, in "Spectral and Scattering Theory", M. Ikawa ed., Marcel Dekker. | MR | Zbl

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

[19] E. Skibsted, Smoothness of N-body scattering amplitudes, Rev. Math. Phys., Vol. 4(4), 1992, pp. 619-658. | MR | Zbl

[20] A.V. Sobolev and D.R. Yafaev, On the quasiclassical limit of total scattering cross-section in non-relativistic quantum mechanics, Ann. Inst. H. Poincaré, Vol. 44, 1986, pp. 195-210. | EuDML | Numdam | MR | Zbl

[21] X.P. Wang, On the three-body long-range scattering problems, Letters in Math. Phys., Vol. 25, 1992, pp. 267-276.Detailed version: Propagation estimates and asymptotic completeness in three-body long-range scattering, J. of Funct. Analysis, Vol. 125(1), 1994, pp. 1-36. | MR | Zbl

[22] X.P. Wang, Microlocal resolvent estimates of N-body Schrödinger operators, J. of the Fac. Sc., Univ. Tokyo, Sect. IA, Mathematics, Vol. 40(2), 1993, pp. 337-385. | MR | Zbl

[23] X.P. Wang, Sections efficaces dans le problème à N-corps, Exposé No. IX au Séminaire EDP à l'École Polytechnique, Palaiseau, Décembre 1992. | EuDML | Numdam | Zbl

[24] X.P. Wang, Total cross sections in N-body problems: Finiteness and high energy asymptotics, Commun. Math. Phys., Vol. 156, 1993, pp. 333-354. | MR | Zbl

[25] X.P. Wang, On the uniqueness of inverse scattering for N-body systems, Inverse Problems, Vol. 10, 1994, pp. 765-784. | MR | Zbl

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

[27] D.R. Yafaev, Quasiclassical asymptotics of the scattering cross-section for the Schrödinger equation, Math. USSR Izv., Vol. 32(1), 1989, pp. 141-165. | MR | Zbl

[28] D.R. Yafaev, Resolvent estimates and scattering matrix for N-particle hamiltonians, preprint Univ. Rennes 1, September 1993. | Zbl

[29] K. Yajima, The quasiclassical limit of scattering amplitude - L2 approach for short range potentials-, Japan J. Math., Vol. 13, 1987, pp. 77-126. | MR | Zbl