@incollection{AST_1992__210__355_0, author = {Yafaev, D.}, title = {Radiation conditions and scattering theory for three-particle {Hamiltonians}}, booktitle = {M\'ethodes semi-classiques Volume 2 - Colloque international (Nantes, juin 1991)}, series = {Ast\'erisque}, pages = {355--384}, publisher = {Soci\'et\'e math\'ematique de France}, number = {210}, year = {1992}, mrnumber = {1221368}, zbl = {0795.58009}, language = {en}, url = {http://archive.numdam.org/item/AST_1992__210__355_0/} }
TY - CHAP AU - Yafaev, D. TI - Radiation conditions and scattering theory for three-particle Hamiltonians BT - Méthodes semi-classiques Volume 2 - Colloque international (Nantes, juin 1991) AU - Collectif T3 - Astérisque PY - 1992 SP - 355 EP - 384 IS - 210 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_1992__210__355_0/ LA - en ID - AST_1992__210__355_0 ER -
%0 Book Section %A Yafaev, D. %T Radiation conditions and scattering theory for three-particle Hamiltonians %B Méthodes semi-classiques Volume 2 - Colloque international (Nantes, juin 1991) %A Collectif %S Astérisque %D 1992 %P 355-384 %N 210 %I Société mathématique de France %U http://archive.numdam.org/item/AST_1992__210__355_0/ %G en %F AST_1992__210__355_0
Yafaev, D. Radiation conditions and scattering theory for three-particle Hamiltonians, dans Méthodes semi-classiques Volume 2 - Colloque international (Nantes, juin 1991), Astérisque, no. 210 (1992), pp. 355-384. http://archive.numdam.org/item/AST_1992__210__355_0/
[1] Mathematical aspects of the three body problem in quantum scattering theory, Trudy MIAN 69, 1963. (Russian) | MR | Zbl
,[2] Hilbert space approach to the quantum mechanical three body problem, Ann. Inst. H. Poincaré, A 21 (1974), 97-145. | EuDML | Numdam | MR | Zbl
and ,[3] Asymptotic completeness in two- and three-particle quantum mechanical scattering, Ann. Phys. 90 (1975), 127-165. | DOI | MR
,[4] On the quantum-mechanical -body problem, Helv. Phys. Acta 42 (1969), 425-458. | MR
,[5] Scattering theory for many-body quantum mechanical systems, Springer Lecture Notes in Math. 1011, 1983. | MR | Zbl
,[6] Asymptotic completeness for multi-particle Schrödinger Hamiltonians with weak potentials, Comm. Math. Phys. 27 (1972), 137-145. | DOI | MR
and ,[7] Smooth operators and commutators, Studia Math. 31 (1968), 535-546. | DOI | EuDML | MR | Zbl
,[8] Commutators and scattering theory I : Repulsive interactions, Comm. Math. Phys. 20 (1971), 301-323. | DOI | MR | Zbl
,[9] Completeness of the wave operators in the repulsive -body problem, J. Math. Phys. 14 (1973), 376-379. | DOI | MR | Zbl
,[10] The -particle scattering problem : asymptotic completeness for short-range systems, Ann. Math. 126 (1987), 35-108. | DOI | MR | Zbl
and ,[11] Asymptotic completeness for -body short-range quantum systems : A new proof, Comm. Math. Phys. 132 (1990), 73-101. | DOI | MR | Zbl
,[12] Completeness of three-body quantum scattering, in : Dynamics and processes, P. Blanchard and L. Streit, eds., Springer Lecture Notes in Math. 103 (1983), 62-88. | MR | Zbl
,[13] Wave operators and similarity for some non-self-adjoint operators, Math. Ann. 162 (1966), 258-279. | DOI | EuDML | MR | Zbl
,[14] Spectral representation for Schrödinger operators with long-range potentials, Springer Lecture Notes in Math. 727, 1979. | MR | Zbl
,[15] Scattering for Schrödinger operators in a class of domains with noncompact boundaries, J. Funct. Anal. 44 (1981), 87-119. | DOI | MR
,[16] Scattering by unbounded obstacles for elliptic operators of second order, Proc. of the Steklov Inst, of Math. 179 (1989), 85-107. | Zbl
,[17] Remarks on the spectral theory for the multiparticle type Schrödinger operator, J. Soviet Math. 31 (1985), 3445-3459 (translated from Zap. Nauchn. Sem. LOMI 133 (1984), 277-298). | DOI | MR | Zbl
,[18] Lectures on exponential decay of solutions of second-order elliptic equations, Math. Notes, Princeton Univ. Press, 1982. | MR | Zbl
,[19] Methods of modern mathematical physics IV, Academic Press, 1978. | Zbl
and ,[20] Absence of singular spectrum for certain self-adjoint operators, Comm. Math. Phys. 78 (1981), 391-400. | DOI | MR | Zbl
,[21] Spectral analysis of -body Schrödinger operators, Ann. Mat. 144 (1981), 519-567. | DOI | MR | Zbl
, and ,[22] A new proof of the Mourre estimate, Duke Math. J. 49 (1982), 1075-1085. | DOI | MR | Zbl
, ,[23] Mathematical scattering theory, Amer. Math. Soc., 1992. | MR | Zbl
,[24] Radiation conditions - the free channel -body case, Aarhus University preprint, 1991.
and ,[25] A time-dependent approach to the completeness of multiparticle quantum systems, Comm. Pure Appl. Math. 30 (1977), 573-583. | DOI | MR | Zbl
and ,