On the completeness in three body scattering

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1. [1] L.D. Fadeev, Mathematical Aspects of the Three body Problem in the Quantum Scattering Theory, Israel program of scientific translation, Jerusalem, 1965. Zbl0131.43504MR221828
2. [2] J. Ginibre, M. Moulin, Hilbert space approach to the Quantum Mechanical three body problem, Ann. Inst. Henri Poincaré, t. A 21, 1974, p. 97-145. Zbl0311.47003MR368656
3. [3] L. Thomas, Asymptotic completeness in two and three particle quantum mechanical scattering, Ann. Phys., t. 90, 1975, p. 127-175. MR424082
4. [4] E. Mourre, Application de la méthode de Lavine au problème à trois corps, Ann. Inst. Henri Poincaré, t. A 26, 1977, p. 219-262. Zbl0364.47005MR441155
5. [5] G.A. Hagedorn, P. Perry, Asymptotic completeness for certain three body Schrödinger Operators, Comm. Pure and Appl. Math., t. 36, 1983, p. 213-232. Zbl0506.35026MR690657
6. [6] W.O. Amrein, J.M. Jauch and K.B. Sinha, Scattering Theory in Quantum Mechanics, Benjamin, Reading, 1977. Zbl0376.47001MR495999
7. [7] V. Enss, Completeness of three body quantum scattering, Preprint, Bochum. To appear in the Proceedings of Bielefeld Encounters in Physics and Mathematics III. Zbl0531.47009MR733643
8. [8] V. Enss, Asymptotic completeness for quantum mechanical potential scattering, I. Short range potentials, Comm. Math. Phys., t. 61, 1978, p. 285-291. Zbl0389.47005MR523013
9. [9] E. Mourre, Link between the geometrical and spectral transformation approaches in scattering theory, Comm. Math. Phys., t. 68, 1979, p. 91-94. Zbl0429.47006MR539739
10. [10] E.B. Davies, On Enss' approach to scattering theory, Duke Math. J., t. 47, 1980, p. 171-185. Zbl0434.47014MR563374
11. [11] P.A. Perry, Mellin transforms and scattering theory, I. Short range potentials, Duke Math., t. 47, 1980, p. 187-193. Zbl0445.47009MR563375
12. [12] P.L. Muthuramalingam, Lectures on Spectral properties of the (two body) Schro- 1 dinger operator - 1/2 Δ + W(Q) on L2(Rn) using time dependent scattering theory in Quantum Mechanics, Indian Statistical Institute, New Delhi, June 1983. 
13. [13] R. Froese, I. Herbst, Exponential bounds and absence of positive eigenvalues for N-body Schrödinger Operators, Comm. Math. Physics, t. 87, 1982, p. 429-447. Zbl0509.35061MR682117
14. [14] V. Enss, Propagation properties of Quantum Scattering states, J. Func. Anal., t. 52, 1983, p. 219-251. Zbl0543.47009MR707205
15. [15] A. Jensen, On Lavines formula for Time-Delay: Preprint, Centre de Physique Théorique, Marseille Cedex, October 1982. To appear in Math. Scand. 
16. [16] P.L. Muthuramalingam, K.B. Sinha, Asymptotic completeness in long range scattering-II. Ann. Sci. École Normale Sup., t. 17, f. 4, 1984. Zbl0584.47009MR803195
17. [17] R. Lavine, Absolute continuity of positive spectrum for Schrödinger Operators with long range potentials. J. Func. Anal., t. 12, 1973, p. 30-54. Zbl0246.47017MR342880
18. [18] M. Reed, B. Simon, Methods of Modern Mathematical Physics IV. Analysis of operators. Academic Press, New York, 1978. Zbl0401.47001MR493421
19. [19] B. Simon, Geometric methods in multiparticle Quantum systems, Comm. Math. Phys., t. 55, 1977, p. 259-274. Zbl0413.47008MR496073
20. [20] M. Reed, B. Simon, Methods of Modern Mathematical Physics III. Scattering Theory, Academic Press, New York, 1979. Zbl0405.47007MR529429
21. [21] P.L. Muthuramalingam, K.B. Sinha, Asymptotic evolution of certain o servables and completeness in Coulomb scattering-I. J. Func. Anal., t. 55, 1984, p. 323-343. Zbl0531.47008MR734802