@article{SEDP_1989-1990____A11_0, author = {Graf, G. M.}, title = {Asymptotic completeness for $N$-body short-range quantum systems}, journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"}, note = {talk:9}, pages = {1--9}, publisher = {Ecole Polytechnique, Centre de Math\'ematiques}, year = {1989-1990}, mrnumber = {1073184}, zbl = {0723.35060}, language = {en}, url = {http://www.numdam.org/item/SEDP_1989-1990____A11_0/} }
TY - JOUR AU - Graf, G. M. TI - Asymptotic completeness for $N$-body short-range quantum systems JO - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" N1 - talk:9 PY - 1989-1990 SP - 1 EP - 9 PB - Ecole Polytechnique, Centre de Mathématiques UR - http://www.numdam.org/item/SEDP_1989-1990____A11_0/ LA - en ID - SEDP_1989-1990____A11_0 ER -
%0 Journal Article %A Graf, G. M. %T Asymptotic completeness for $N$-body short-range quantum systems %J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" %Z talk:9 %D 1989-1990 %P 1-9 %I Ecole Polytechnique, Centre de Mathématiques %U http://www.numdam.org/item/SEDP_1989-1990____A11_0/ %G en %F SEDP_1989-1990____A11_0
Graf, G. M. Asymptotic completeness for $N$-body short-range quantum systems. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1989-1990), Exposé no. 9, 9 p. http://www.numdam.org/item/SEDP_1989-1990____A11_0/
[1] Schrödinger Operators, Springer Verlag (1987) | MR | Zbl
, , , :[2] A time-dependent approach to the completeness of multiparticle quantum systems. Commun. Pure Appl. Math. 30, 573-583 (1977) | MR | Zbl
, :[3] A new proof of the propagation theorem for N-body quantum systems. Commun. Math. Phys. 122, 203-231 (1989) | MR | Zbl
:[4] Asymptotic completeness for quantum-mechanical potential scattering, I. Short-range potentials. Commun. Math. Phys. 61, 285-291 (1978) | MR | Zbl
:[5] Asymptotic completeness for quantum-mechanical potential scattering, II. Singular and long-range potentials. Ann. Phys. 119, 117-132 (1979) | MR | Zbl
:[6] Completeness of Three-Body Quantum Scattering", in Dynamics and Processes ed. by P. Blanchard, L. Streit, Lecture Notes in Mathematics, Vol. 1031, pp. 62-88, Springer Verlag (1983) | MR | Zbl
: "[7] Introduction to asymptotic observables for multi-particle quantum scattering", in Schrödinger Operators, Aarhus 1985, ed. by E. Balslev, Lecture Notes in Mathematics, Vol. 1218, pp. 61-92, Springer Verlag (1986) | MR | Zbl
: "[8] A new proof of the Mourre estimate. Duke Math. J. 49, n°4, 1075-1085 (1982) | MR | Zbl
, :[9] Asymptotic completeness for N-body short-range systems: a new proof. ETH-preprint 89-50.
:[10] Wave operators in multichannel scattering. Nuovo Cimento Ser. X 13, 231-236 (1959) | Zbl
:[11] Time dependent scattering theory for singular potentials. Helv. Phys. Acta 40, 1052-1062 (1967). | Zbl
:[12] Absence of singular continuous spectrum for certain selfadjoint operators. Commun. Math. Phys. 78, 391-408 (1981) | MR | Zbl
:[13] Spectral analysis of N-body Schrödinger operators. Ann. Math. 114, 519-567 (1981) | MR | Zbl
, , :[14] Methods of Modern Mathematical Physics, Vol. I-IV, Academic Press, (1972-79) | MR | Zbl
, :[15] The N-particle scattering problem: asymptotic completeness for short-range systems. Ann. Math. 126, 35-108 (1987) | MR | Zbl
, :[16] Long-range many-body scattering. Asymptotic clustering for Coulomb-type potentials. University of Toronto preprint (1988), to appear in Inventiones Mathematicae | MR | Zbl
, :[17] Local decay and propagation estimates for time-dependent and time-independent Hamiltonians, University of Princeton preprint (1988)
, :