An analog of the RAGE theorem for the impact parameter approximation to three particle scattering
Annales de l'I.H.P. Physique théorique, Volume 38 (1983) no. 1, p. 59-68
@article{AIHPA_1983__38_1_59_0,
     author = {Hagedorn, George A.},
     title = {An analog of the RAGE theorem for the impact parameter approximation to three particle scattering},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     publisher = {Gauthier-Villars},
     volume = {38},
     number = {1},
     year = {1983},
     pages = {59-68},
     zbl = {0517.47009},
     mrnumber = {700700},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1983__38_1_59_0}
}
Hagedorn, George A. An analog of the RAGE theorem for the impact parameter approximation to three particle scattering. Annales de l'I.H.P. Physique théorique, Volume 38 (1983) no. 1, pp. 59-68. http://www.numdam.org/item/AIHPA_1983__38_1_59_0/

[1] W. Amrein, V. Georgescu, Bound states and scattering states in quantum mechanics. Helv. Phys. Acta, t. 46, 1973, p. 633-658. | MR 363267

[2] E.B. Davies, On Enss' approach to scattering theory. Duke Math. J., t. 47, 1980, p. 171-185. | MR 563374 | Zbl 0434.47014

[3] V. Enss, Asymptotic completeness for quantum mechanical potential scattering. Commun. Math. Phys., t. 61, 1978, p. 285-291. | MR 523013 | Zbl 0389.47005

[4] V. Enss, Geometric Methods in Spectral and Scattering Theory of Schrödinger operators, in Rigourous atomic and Molecular physics, ed. by G. Velo and A. Wightman, Plenum, New York (to appear).

[5] J. Ginibre, La méthode « dépendant du temps » dans le problème de la complétude asymptotique. Preprint, Université de Paris-Sud, 1980.

[6] G.A. Hagedorn, Asymptotic completeness for the impact parameter approximation to three particle scattering. Ann. Inst. H. Poincaré, Sect. A, t. 36, 1982, p. 19-40. | Numdam | MR 653016 | Zbl 0482.47003

[7] M. Reed, B. Simon, Methods of modern mathematical physics, vol. 1, Functional analysis, New York, London, Academic Press, 1972. | Zbl 0242.46001

[8] M. Reed, B. Simon, Methods of modern mathematical physics, vol. II, Fourier analysis, self-adjointness, New York, London, Academic Press, 1975. | Zbl 0308.47002

[9] M. Reed, B. Simon, Methods of modern mathematical physics, vol. III, Scattering theory, New York, London, Academic Press, 1979. | MR 529429 | Zbl 0405.47007

[10] M. Reed, B. Simon, Methods of modern mathematical physics, vol. IV, Analysis of operators, New York, London, Academic Press, 1978. | Zbl 0401.47001

[11] D. Ruelle, A remark on bound states in potential scattering theory. Nuovo Cimento, t. A61, 1969, p. 655-662. | MR 246603

[12] B. Simon, Quantum mechanics for hamiltonians defined as quadratic forms. Princeton University Press, 1971. | MR 455975 | Zbl 0232.47053

[13] B. Simon, Phase space analysis of simple scattering systems, Extensions of some work of Enss. Duke Math. J., t. 46, 1979, p. 119-168. | MR 523604 | Zbl 0402.35076

[14] D. Yafaev, On the proof of Enss of asymptotic completeness in potential scattering. Preprint, Steklov Institute, Leningrad, 1979.

[15] K. Yajima, A multi-channel scattering theory for some time dependent hamiltonians, Charge transfer problem. Commun. Math. Phys., t. 75, 1980, p. 153-178. | MR 582506 | Zbl 0437.47008

[16] K. Yosida, Functional analysis, Berlin, Heidelberg, New York, Springer-Verlag, 1968. | MR 617913

[17] P. Perry, Mellin transforms and scattering theory I. Short range potentials. Duke Math. Journal, t. 47, 1980, p. 187-193. | MR 563375 | Zbl 0445.47009