Applications de la méthode de Lavine au problème à trois corps
Mourre, Eric
Annales de l'I.H.P. Physique théorique, Tome 27 (1977), p. 219-262 / Harvested from Numdam
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@article{AIHPA_1977__26_3_219_0,
     author = {Mourre, \'Eric},
     title = {Applications de la m\'ethode de Lavine au probl\`eme \`a trois corps},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {27},
     year = {1977},
     pages = {219-262},
     mrnumber = {441155},
     zbl = {0364.47005},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/AIHPA_1977__26_3_219_0}
}

Mourre, Eric. Applications de la méthode de Lavine au problème à trois corps. Annales de l'I.H.P. Physique théorique, Tome 27 (1977) pp. 219-262. http://gdmltest.u-ga.fr/item/AIHPA_1977__26_3_219_0/

[1] J. Ginibre et M. Moulin, Hilbert Space Approach to Quantum Mechanical Three Body Problem. Ann. Inst. Henri Poincaré, vol. XXI, n° 2, 1974. | Numdam | Zbl 0311.47003

[2] L. Thomas, Asymptotic Completeness in Two and Three Particle Quantum Mechanical Scattering. Ann. Phys., t. 90, 1975, p. 127-165. | MR 424082

[3] L.D. Faddeev, Mathematical Aspects of the Three Body Problem in the Quantum Scattering Theory. Israel Program for Scientific Translation, Jerusalem, 1965. | MR 221828 | Zbl 0131.43504

[4] T. Kato, a) Wave Operators and Similarly for Some Non-Self-Adjoint Operators. Math. Ann., t. 162, 1966. b) Growth Properties of Solutions of the Reduced Wave Equation with Variable Coefficient. Comm. Pure Appl. Math., t. 12, 1959. | MR 190801 | Zbl 0139.31203 | Zbl 0091.09502

[5] S. Agmon, a) Jour. Anal. Math., t. 23, 1970. b) International Congress of Mathematicians, Nice, 1970.

[6] B. Simon, Quantum Mechanics for Hamiltonians Defined as Quadratic Forms Princeton Univ. Press, Princeton, 1971. | MR 455975 | Zbl 0232.47053

[7] R. Lavine, Absolute Continuity of Positive Spectrum for Schrödinger Operators with Long Range Potentials. J. Functional Analysis, t. 12, 1973. | MR 342880 | Zbl 0246.47017

[8] M. Reed and B. Simon, Methods of Modern Mathematical Physics. Academic Press, New York, vol. III, in preparation. | MR 529429 | Zbl 0405.47007

[9] Dunford-Schwartz, Linear Operators, Part I.

[10] T. Kato, Perturbation Theory for Linear Operators. | Zbl 0148.12601

[11] R. Lavine, Commutators and Scattering Theory II. A Class of One-Body Problems. Indiana Univ. Math. J., t. 21, 1972, p. 643-655. | MR 300134 | Zbl 0216.38501

[12] B. Simon, On Positive Eigenvalues of One-Body Schrödinger Operators, Communications on Pure and Applied Mathematics, vol. XXII, 1967. | Zbl 0167.11003

[13] On the algebraic theory of scattering. J. F. A., t. 15, 1974, p. 364-377. | Zbl 0283.47006

[14] Scattering theory with singular potential. I the two body problem. Ann. Inst. Henri Poincaré, t. 21, 1974, p. 185-215. | Numdam | MR 377304