@article{SEDP_1991-1992____A1_0,
author = {Yafaev, D.},
title = {Radiation conditions and scattering theory for $N$-particle quantum systems},
journal = {S\'eminaire Goulaouic-Schwartz},
note = {talk:1},
pages = {1--14},
year = {1991-1992},
publisher = {Ecole Polytechnique, Centre de Math\'ematiques},
mrnumber = {1226480},
zbl = {0771.35041},
language = {en},
url = {https://www.numdam.org/item/SEDP_1991-1992____A1_0/}
}
TY - JOUR AU - Yafaev, D. TI - Radiation conditions and scattering theory for $N$-particle quantum systems JO - Séminaire Goulaouic-Schwartz N1 - talk:1 PY - 1991-1992 SP - 1 EP - 14 PB - Ecole Polytechnique, Centre de Mathématiques UR - https://www.numdam.org/item/SEDP_1991-1992____A1_0/ LA - en ID - SEDP_1991-1992____A1_0 ER -
%0 Journal Article %A Yafaev, D. %T Radiation conditions and scattering theory for $N$-particle quantum systems %J Séminaire Goulaouic-Schwartz %Z talk:1 %D 1991-1992 %P 1-14 %I Ecole Polytechnique, Centre de Mathématiques %U https://www.numdam.org/item/SEDP_1991-1992____A1_0/ %G en %F SEDP_1991-1992____A1_0
Yafaev, D. Radiation conditions and scattering theory for $N$-particle quantum systems. Séminaire Goulaouic-Schwartz (1991-1992), Exposé no. 1, 14 p.. https://www.numdam.org/item/SEDP_1991-1992____A1_0/
[1] , Mathematical Aspects of the Three Body Problem in Quantum Scattering Theory, Trudy MIAN 69, 1963. (Russian) | Zbl | MR
[2] and , Hilbert space approach to the quantum mechanical three body problem, Ann. Inst. H.Poincaré, A 21(1974), 97-145. | Numdam | Zbl | MR | EuDML
[3] , Asymptotic completeness in two- and three-particle quantum mechanical scattering, Ann. Phys. 90 (1975), 127-165. | MR
[4] , On the quantum-mechanical N-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. | Zbl | MR
[6] and , Asymptotic completeness for multi-particle Schrödinger Hamiltonians with weak potentials, Comm. Math. Phys. 27(1972), 137-145. | MR
[7] , Smooth operators and commutators, Studia Math. 31(1968), 535-546. | Zbl | MR | EuDML
[8] , Commutators and scattering theory I: Repulsive interactions, Comm. Math. Phys. 20(1971), 301-323. | Zbl | MR
[9] , Completeness of the wave operators in the repulsive N-body problem, J. Math. Phys. 14 (1973), 376-379. | Zbl | MR
[10] and , The N-particle scattering problem: Asymptotic completeness for short-range systems, Ann. Math. 126(1987), 35-108. | Zbl | MR
[11] , Asymptotic completeness for N-body short-range quantum systems: A new proof, Comm. Math. Phys. 132 (1990), 73-101. | Zbl | MR
[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. | Zbl | MR
[13] , Wave operators and similarity for some non-self-adjoint operators, Math. Ann. 162 (1966), 258-279. | Zbl | MR
[14] and , Methods of Modern Mathematical Physics III, Academic Press, 1979. | Zbl | MR
[15] , Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations, Math. Notes, Princeton Univ. Press, 1982. | Zbl | MR
[16] , Absence of singular spectrum for certain self-adjoint operators, Comm. Math. Phys. 78 (1981), 391-400. | Zbl | MR
[17] , and , Spectral analysis of N-body Schrödinger operators, Ann. Math. 144 (1981), 519-567. | Zbl | MR
[18] , , A new proof of the Mourre estimate, Duke Math. J. 49 (1982), 1075-1085. | Zbl | MR
[19] , Remarks on spectral theory for the Schrödinger operator of multiparticle type, Notes of Sci. Seminars of LOMI 133 (1984), 277-298. (Russian) | Zbl | MR
[20] , Spectral Representation for Schrödinger Operators with Long-Range Potentials, Springer Lecture Notes in Math. 727, 1979. | Zbl | MR






