On the completeness in three body scattering
Annales de l'I.H.P. Physique théorique, Volume 41 (1984) no. 1, pp. 79-101.
@article{AIHPA_1984__41_1_79_0,
author = {Sinha, Kalyan B. and Krishna, M. and Muthuramalingam, Pl.},
title = {On the completeness in three body scattering},
journal = {Annales de l'I.H.P. Physique th\'eorique},
pages = {79--101},
publisher = {Gauthier-Villars},
volume = {41},
number = {1},
year = {1984},
zbl = {0558.47007},
mrnumber = {760128},
language = {en},
url = {http://www.numdam.org/item/AIHPA_1984__41_1_79_0/}
}
TY  - JOUR
AU  - Sinha, Kalyan B.
AU  - Krishna, M.
AU  - Muthuramalingam, Pl.
TI  - On the completeness in three body scattering
JO  - Annales de l'I.H.P. Physique théorique
PY  - 1984
DA  - 1984///
SP  - 79
EP  - 101
VL  - 41
IS  - 1
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPA_1984__41_1_79_0/
UR  - https://zbmath.org/?q=an%3A0558.47007
UR  - https://www.ams.org/mathscinet-getitem?mr=760128
LA  - en
ID  - AIHPA_1984__41_1_79_0
ER  - 
%0 Journal Article
%A Sinha, Kalyan B.
%A Krishna, M.
%A Muthuramalingam, Pl.
%T On the completeness in three body scattering
%J Annales de l'I.H.P. Physique théorique
%D 1984
%P 79-101
%V 41
%N 1
%I Gauthier-Villars
%G en
%F AIHPA_1984__41_1_79_0
Sinha, Kalyan B.; Krishna, M.; Muthuramalingam, Pl. On the completeness in three body scattering. Annales de l'I.H.P. Physique théorique, Volume 41 (1984) no. 1, pp. 79-101. http://www.numdam.org/item/AIHPA_1984__41_1_79_0/

[1] L.D. Fadeev, Mathematical Aspects of the Three body Problem in the Quantum Scattering Theory, Israel program of scientific translation, Jerusalem, 1965. | MR | Zbl

[2] J. Ginibre, M. Moulin, Hilbert space approach to the Quantum Mechanical three body problem, Ann. Inst. Henri Poincaré, t. A 21, 1974, p. 97-145. | Numdam | MR | Zbl

[3] L. Thomas, Asymptotic completeness in two and three particle quantum mechanical scattering, Ann. Phys., t. 90, 1975, p. 127-175. | MR

[4] E. Mourre, Application de la méthode de Lavine au problème à trois corps, Ann. Inst. Henri Poincaré, t. A 26, 1977, p. 219-262. | Numdam | MR | Zbl

[5] G.A. Hagedorn, P. Perry, Asymptotic completeness for certain three body Schrödinger Operators, Comm. Pure and Appl. Math., t. 36, 1983, p. 213-232. | MR | Zbl

[6] W.O. Amrein, J.M. Jauch and K.B. Sinha, Scattering Theory in Quantum Mechanics, Benjamin, Reading, 1977. | MR | Zbl

[7] V. Enss, Completeness of three body quantum scattering, Preprint, Bochum. To appear in the Proceedings of Bielefeld Encounters in Physics and Mathematics III. | MR | Zbl

[8] V. Enss, Asymptotic completeness for quantum mechanical potential scattering, I. Short range potentials, Comm. Math. Phys., t. 61, 1978, p. 285-291. | MR | Zbl

[9] E. Mourre, Link between the geometrical and spectral transformation approaches in scattering theory, Comm. Math. Phys., t. 68, 1979, p. 91-94. | MR | Zbl

[10] E.B. Davies, On Enss' approach to scattering theory, Duke Math. J., t. 47, 1980, p. 171-185. | MR | Zbl

[11] P.A. Perry, Mellin transforms and scattering theory, I. Short range potentials, Duke Math., t. 47, 1980, p. 187-193. | MR | Zbl

[12] P.L. Muthuramalingam, Lectures on Spectral properties of the (two body) Schro- 1 dinger operator - 1/2 Δ + W(Q) on L2(Rn) using time dependent scattering theory in Quantum Mechanics, Indian Statistical Institute, New Delhi, June 1983.

[13] R. Froese, I. Herbst, Exponential bounds and absence of positive eigenvalues for N-body Schrödinger Operators, Comm. Math. Physics, t. 87, 1982, p. 429-447. | MR | Zbl

[14] V. Enss, Propagation properties of Quantum Scattering states, J. Func. Anal., t. 52, 1983, p. 219-251. | MR | Zbl

[15] A. Jensen, On Lavines formula for Time-Delay: Preprint, Centre de Physique Théorique, Marseille Cedex, October 1982. To appear in Math. Scand.

[16] P.L. Muthuramalingam, K.B. Sinha, Asymptotic completeness in long range scattering-II. Ann. Sci. École Normale Sup., t. 17, f. 4, 1984. | Numdam | MR

[17] R. Lavine, Absolute continuity of positive spectrum for Schrödinger Operators with long range potentials. J. Func. Anal., t. 12, 1973, p. 30-54. | MR | Zbl

[18] M. Reed, B. Simon, Methods of Modern Mathematical Physics IV. Analysis of operators. Academic Press, New York, 1978. | MR | Zbl

[19] B. Simon, Geometric methods in multiparticle Quantum systems, Comm. Math. Phys., t. 55, 1977, p. 259-274. | MR | Zbl

[20] M. Reed, B. Simon, Methods of Modern Mathematical Physics III. Scattering Theory, Academic Press, New York, 1979. | MR | Zbl

[21] P.L. Muthuramalingam, K.B. Sinha, Asymptotic evolution of certain o servables and completeness in Coulomb scattering-I. J. Func. Anal., t. 55, 1984, p. 323-343. | MR | Zbl