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Séminaire Équations aux dérivées partielles (Polytechnique)

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X. P. Wang
Sections efficaces dans le problème à $N$-corps
Séminaire Équations aux dérivées partielles (Polytechnique) (1992-1993), Exp. No. 7, 9 p.
Article PDF | Analyses MR 1240548

Bibliographie

[1] W.O. Amrein, J.M. Jauch and K.B. Sinha, Scattering Theory in Quantum Mechanics, W.A. Benjamin, Reading, Mass., 1977.  MR 495999 |  Zbl 0376.47001
[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 542070
[3] H. Cycon, R. Froese, W. Kirsch and B. Simon, Schrödinger Operators, Texts and Monographs in Physics, Springer Vertag. 1987.  MR 883643 |  Zbl 0619.47005
[4] V. Enss and B. Simon, Finite total cross-sections in nonrelativistic quantum mechanics, Commun. in Math. Phys., 76(1980), 177-209. Article |  MR 587510 |  Zbl 0471.35065
[5] W. Hunziker, Potential scattering at high energies, Helv. Phys. Acta 36(1963), 838-856.  MR 180135
[6] H. Isozaki, Structure of S-matrices for three body Schrödinger operators, Comm. Math. Phys., 146(1992), 241-258. Article |  MR 1165182 |  Zbl 0748.35026
[7] H. Ito, High energy behavior of total scattering cross sections for 3-body quantum systems, preprint  MR 1245017 |  Zbl 0847.35097
[8] A. Jensen, The scattering cross section and its Born approximation at high energies, Helv. Phys. Acta 53 (1980), 398-403.  MR 611766
[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 634428 |  Zbl 0477.35069
[11] M. Reed and B. Simon, Methods of Modem Mathematical Physics, IV. Analysis of Operators, Académie Press, Nev York, 1978.  MR 493421 |  Zbl 0401.47001
[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 912158 |  Zbl 0648.35066
[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 898052 |  Zbl 0646.47009
[15] E. Skibsted, Smoothness of N-body scattering amplitudes, preprint 1992, Univ. Aarhus.  MR 1197552 |  Zbl 0781.35047
[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 839284 |  Zbl 0607.35070
[17] X.P. Wang, On the three-body long-rangé scattering problems, Lett. in Math. Phys., 25(1992), 267-276.  MR 1188806 |  Zbl 0776.35045
[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. Article |  MR 1233849 |  Zbl 0839.35113
[20] D.R. Yafaev, The eikonal approximation for the Schrödinger equation, Proc. of the Steklov Inst. Math., 179(2) (1989), 251-266.  MR 964920 |  Zbl 0693.35125
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