Sections efficaces dans le problème à $N$-corps

 Access to full text

 Full (PDF)

1. [1] W.O. Amrein, J.M. Jauch and K.B. Sinha, Scattering Theory in Quantum Mechanics, W.A. Benjamin, Reading, Mass., 1977. Zbl0376.47001MR495999
2. [2] W.O. Amrein, D.B. Pearson and K.B. Sinha, Bounds on the total scattering cross section for N-body systems. Nuovo Cimento, 52A (1979), 115-131. MR542070
3. [3] H. Cycon, R. Froese, W. Kirsch and B. Simon, Schrödinger Operators, Texts and Monographs in Physics, Springer Vertag. 1987. Zbl0619.47005MR883643
4. [4] V. Enss and B. Simon, Finite total cross-sections in nonrelativistic quantum mechanics, Commun. in Math. Phys., 76(1980), 177-209. Zbl0471.35065MR587510
5. [5] W. Hunziker, Potential scattering at high energies, Helv. Phys. Acta36(1963), 838-856. MR180135
6. [6] H. Isozaki, Structure of S-matrices for three body Schrödinger operators, Comm. Math. Phys., 146(1992), 241-258. Zbl0748.35026MR1165182
7. [7] H. Ito, High energy behavior of total scattering cross sections for 3-body quantum systems, preprint Zbl0847.35097MR1245017
8. [8] A. Jensen, The scattering cross section and its Born approximation at high energies, Helv. Phys. Acta53 (1980), 398-403. MR611766
9. [9] L.D. Landau and E.M. Lifchitz, Quantum Mechanics, Nonrelativistic Theory, Pergmon Press, Oxford, 1965. 
10. [10] P. Perry, I.M. Sigal and B. Simon, Spectral analysis of N-body Schrödinger operators, Ann. of Math., 114 (1981), 519-567. Zbl0477.35069MR634428
11. [11] M. Reed and B. Simon, Methods of Modem Mathematical Physics, IV. Analysis of Operators, Académie Press, Nev York, 1978. Zbl0401.47001MR493421
12. [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. Zbl0648.35066MR912158
13. [13] D. Robert and X.P. Wang, Pointwise semiclassical asymptotics for total cross sections in N-body problems, preprint1992, Univ. Nantes. 
14. [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. Zbl0646.47009MR898052
15. [15] E. Skibsted, Smoothness of N-body scattering amplitudes, preprint 1992, Univ. Aarhus. Zbl0781.35047MR1197552
16. [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. Zbl0607.35070MR839284
17. [17] X.P. Wang, On the three-body long-rangé scattering problems, Lett. in Math. Phys., 25(1992), 267-276. Zbl0776.35045MR1188806
18. [18] X.P. Wang, Microlocal résolvent estimates of N-body Schrödinger operators, preprint1992, Univ. Nantes. 
19. [19] X.P. Wang, Total cross sections in N-body problems: finiteness and high energy asymptotics, preprint1992, Univ. Nantes. Zbl0839.35113MR1233849
20. [20] D.R. Yafaev, The eikonal approximation for the Schrödinger equation, Proc. of the Steklov Inst. Math., 179(2) (1989), 251-266. Zbl0693.35125MR964920

1. X. P. Wang, High energy asymptotics for N-body scattering matrices with arbitrary channels