Propagation and local-decay properties for long-range scattering of quantum three-body systems
Annales de l'I.H.P. Physique théorique, Volume 42 (1985) no. 1, p. 39-72
@article{AIHPA_1985__42_1_39_0,
     author = {Combescure, Monique},
     title = {Propagation and local-decay properties for long-range scattering of quantum three-body systems},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     publisher = {Gauthier-Villars},
     volume = {42},
     number = {1},
     year = {1985},
     pages = {39-72},
     zbl = {0568.47007},
     mrnumber = {794365},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1985__42_1_39_0}
}
Combescure, Monique. Propagation and local-decay properties for long-range scattering of quantum three-body systems. Annales de l'I.H.P. Physique théorique, Volume 42 (1985) no. 1, pp. 39-72. http://www.numdam.org/item/AIHPA_1985__42_1_39_0/

[1] S. Agmon, Some new results in spectral and scattering theory of differential operators on L2(Rν), Seminaire Goulaouic-Schwartz 1978-1979, Centre de Mathématiques-Polytechnique, Palaiseau. | Numdam | MR 557513 | Zbl 0406.35052

[2] W.O. Amrein and V. Georgescu, Helv. Phys. Acta, t. 46, 1973, p. 635-658. | MR 363267

[3] K. Asada and D. Fujiwara, Japan. J. Math., t. 4, 1978, p. 299-361. | MR 528863 | Zbl 0402.44008

[4] A.P. Calderon and R. Vaillancourt, J. Math. Soc. Japan, t. 23, 1971, p. 374- 378. | MR 284872 | Zbl 0203.45903

[5] E.B. Davies, Duke Math. J., t. 47, 1980, p. 171-185. | MR 563374 | Zbl 0434.47014

[6] J. Dollard, J. Math. Phys., t. 5, 1964, p. 729-738. | MR 163620

[7] V. Enss, Ann. Phys., t. 119, 1979, p. 117-132. | MR 535624 | Zbl 0408.47009

[8] V. Enss, Completeness of three-body quantum scattering, Conference Proceedings Bielefeld, 1981, to appear in Lecture Notes in Mathematics, Springer, 1983. | MR 733643 | Zbl 0531.47009

[9] V. Enss, in Rigorous Atomic and Molecular Physics, G. Velo and A. S. Wightman eds, Plenum, New York, 1981.

[10] V. Enss, Commun. Math. Phys., t. 89, 1983, p. 245-268. | Zbl 0543.47008

[11] V. Enss, Propagation properties of quantum scattering states, preprint, Institut Mittag-Leffler, 1982. | MR 707205

[12] V. Enss, Three-body quantum scattering theory, in preparation.

[13] D. Fujiwara, Proc. Japan Acad., t. 51, 1975, p. 96-99. | MR 372685 | Zbl 0319.44004

[14] J. Ginibre, in Acta Physica Austriaca, Suppl. XVII, W. Thirring and P. Urban eds, Vienne, 1977.

[15] J. Ginibre, La méthode « dépendant du temps » dans le problème de la complétude asymptotique, preprint univ. Paris-Sud, LPTHE 80/10, 1980.

[16] G. Hagedorn and P. Perry, Commun. Pure and Appl. Math., t. 36, 1983, p. 213-232. | MR 690657 | Zbl 0506.35026

[17] L. Hörmander, Math. Z., t. 146, 1976, p. 69-91. | MR 393884 | Zbl 0319.35059

[18] T. Ikebe and H. Isozaki, Integral Equ. and Op. Theory, t. 5, 1982, p. 18-49. | MR 646878 | Zbl 0496.35069

[19] H. Kitada, J. Faculty Sci. Univ. Tokyo, Ser. IA, t. 29, 1982, p. 353-369. | MR 672067 | Zbl 0494.35072

[20] H. Kitada and K. Yajima, Duke Math. J., t. 49, 1982, p. 341-376. | MR 659945 | Zbl 0499.35087

[21] S.P. Merkuriev, Ann. Phys., t. 130, 1980, p. 395-426. | MR 610668 | Zbl 0483.35066

[22] E. Mourre, Commun. Math. Phys., t. 91, 1983, p. 279-300. | MR 723552 | Zbl 0543.47041

[23] E. Mourre, Opérateurs conjugués et propriétés de propagation. Remarques sur la complétude asymptotique des systèmes à 3 corps, preprint CNRS Luminy, 1982. | MR 723552

[24] Pl. Muthuramalingam, Spectral properties of vaguely elliptic pseudo-differential operators with momentum dependent long-range potentials using time-dependent scattering theory, New Delhi, 1982.

[25] Pl. Muthuramalinga- and K.B. Sinha, Asymptotic evolution of certain observables and completeness in Coulomb scattering, to appear in J. Func. Anal. | MR 734802 | Zbl 0531.47008

[26] P. Perry, Commun. Math. Phys., t. 81, 1981, p. 243-259. | Zbl 0471.47007

[27] P. Perry, I. Sigal and B. Simon, Ann. Math., t. 114, 1981, p. 519-567. | MR 634428 | Zbl 0477.35069

[28] M. Reed and B. Simon, Methods of Modern Mathematical Physics, vol. II, III and IV, Academic Press, New York, 1975-1979.

[29] D. Ruelle, Nuovo Cimento, t. 61A, 1966, p. 655-662. | MR 246603

[30] I. Sigal, Asymptotic completeness of many-body short-range systems. The Weizmann Inst., preprint 1983. | MR 750031

[31] I. Sigal, Scattering Theory of Many-Body Quantum Mechanical Systems (Rigorous results). Lecture Notes in Mathematics, A. Dold and B. Eckmann eds, Springer-Verlag, Berlin, Heildelberg, 1983. | MR 715786 | Zbl 0522.47006

[32] K.B. Sinha, M. Krishna and Pl. Muthuramalingam, On the completeness of three-body scattering, New Dehli preprint, 1983.

[33] M. Combescure, Asymptotic completeness for three-body long-range systems, in preparation.