@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}, volume = {43}, year = {1985}, pages = {39-72}, mrnumber = {794365}, zbl = {0568.47007}, language = {en}, url = {http://dml.mathdoc.fr/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, Tome 43 (1985) pp. 39-72. http://gdmltest.u-ga.fr/item/AIHPA_1985__42_1_39_0/
[1] 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] 46, 1973, p. 635-658. | MR 363267
and , Helv. Phys. Acta, t.[3] 4, 1978, p. 299-361. | MR 528863 | Zbl 0402.44008
and , Japan. J. Math., t.[4] 23, 1971, p. 374- 378. | MR 284872 | Zbl 0203.45903
and , J. Math. Soc. Japan, t.[5] 47, 1980, p. 171-185. | MR 563374 | Zbl 0434.47014
, Duke Math. J., t.[6] 5, 1964, p. 729-738. | MR 163620
, J. Math. Phys., t.[7] 119, 1979, p. 117-132. | MR 535624 | Zbl 0408.47009
, Ann. Phys., t.[8] 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] Rigorous Atomic and Molecular Physics, G. Velo and A. S. Wightman eds, Plenum, New York, 1981.
, in[10] 89, 1983, p. 245-268. | Zbl 0543.47008
, Commun. Math. Phys., t.[11] Propagation properties of quantum scattering states, preprint, Institut Mittag-Leffler, 1982. | MR 707205
,[12] Three-body quantum scattering theory, in preparation.
,[13] 51, 1975, p. 96-99. | MR 372685 | Zbl 0319.44004
, Proc. Japan Acad., t.[14]
, in Acta Physica Austriaca, Suppl. XVII, W. Thirring and P. Urban eds, Vienne, 1977.[15] La méthode « dépendant du temps » dans le problème de la complétude asymptotique, preprint univ. Paris-Sud, LPTHE 80/10, 1980.
,[16] 36, 1983, p. 213-232. | MR 690657 | Zbl 0506.35026
and , Commun. Pure and Appl. Math., t.[17] 146, 1976, p. 69-91. | MR 393884 | Zbl 0319.35059
, Math. Z., t.[18] 5, 1982, p. 18-49. | MR 646878 | Zbl 0496.35069
and , Integral Equ. and Op. Theory, t.[19] 29, 1982, p. 353-369. | MR 672067 | Zbl 0494.35072
, J. Faculty Sci. Univ. Tokyo, Ser. IA, t.[20] 49, 1982, p. 341-376. | MR 659945 | Zbl 0499.35087
and , Duke Math. J., t.[21] 130, 1980, p. 395-426. | MR 610668 | Zbl 0483.35066
, Ann. Phys., t.[22] 91, 1983, p. 279-300. | MR 723552 | Zbl 0543.47041
, Commun. Math. Phys., t.[23] Opérateurs conjugués et propriétés de propagation. Remarques sur la complétude asymptotique des systèmes à 3 corps, preprint CNRS Luminy, 1982. | MR 723552
,[24] Spectral properties of vaguely elliptic pseudo-differential operators with momentum dependent long-range potentials using time-dependent scattering theory, New Delhi, 1982.
,[25] Asymptotic evolution of certain observables and completeness in Coulomb scattering, to appear in J. Func. Anal. | MR 734802 | Zbl 0531.47008
- and ,[26] 81, 1981, p. 243-259. | Zbl 0471.47007
, Commun. Math. Phys., t.[27] 114, 1981, p. 519-567. | MR 634428 | Zbl 0477.35069
, and , Ann. Math., t.[28] Methods of Modern Mathematical Physics, vol. II, III and IV, Academic Press, New York, 1975-1979.
and ,[29] 61A, 1966, p. 655-662. | MR 246603
, Nuovo Cimento, t.[30] Asymptotic completeness of many-body short-range systems. The Weizmann Inst., preprint 1983. | MR 750031
,[31] 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] On the completeness of three-body scattering, New Dehli preprint, 1983.
, and ,[33] Asymptotic completeness for three-body long-range systems, in preparation.
,