Prolongement méromorphe de la matrice de scattering pour des problèmes à deux corps à longue portée
Annales de l'I.H.P. Physique théorique, Tome 51 (1989) no. 1, pp. 81-110. 
@article{AIHPA_1989__51_1_81_0,
     author = {G\'erard, Christian and Martinez, Andr\'e},
     title = {Prolongement m\'eromorphe de la matrice de scattering pour des probl\`emes \`a deux corps \`a longue port\'ee},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {81--110},
     publisher = {Gauthier-Villars},
     volume = {51},
     number = {1},
     year = {1989},
     mrnumber = {1029851},
     zbl = {0711.35097},
     language = {fr},
     url = {http://archive.numdam.org/item/AIHPA_1989__51_1_81_0/}
}
TY  - JOUR
AU  - Gérard, Christian
AU  - Martinez, André
TI  - Prolongement méromorphe de la matrice de scattering pour des problèmes à deux corps à longue portée
JO  - Annales de l'I.H.P. Physique théorique
PY  - 1989
SP  - 81
EP  - 110
VL  - 51
IS  - 1
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPA_1989__51_1_81_0/
LA  - fr
ID  - AIHPA_1989__51_1_81_0
ER  - 
%0 Journal Article
%A Gérard, Christian
%A Martinez, André
%T Prolongement méromorphe de la matrice de scattering pour des problèmes à deux corps à longue portée
%J Annales de l'I.H.P. Physique théorique
%D 1989
%P 81-110
%V 51
%N 1
%I Gauthier-Villars
%U http://archive.numdam.org/item/AIHPA_1989__51_1_81_0/
%G fr
%F AIHPA_1989__51_1_81_0
Gérard, Christian; Martinez, André. Prolongement méromorphe de la matrice de scattering pour des problèmes à deux corps à longue portée. Annales de l'I.H.P. Physique théorique, Tome 51 (1989) no. 1, pp. 81-110. http://archive.numdam.org/item/AIHPA_1989__51_1_81_0/

[Ag] S. Agmon, Spectral Theory Schrôdinger Operators on Euclidean and non-Euclidean Spaces, Comm. Pure Appl. Math., vol. 39, 1986, p. 53-516. | MR | Zbl

[Ag-Co] J. Aguilar et J.-M. Combes, A class of Analytic perturbations for One-Body Schrôdinger Hamiltonians, Comm. Math. Phys., vol. 22, 1971, p. 269-279. | MR | Zbl

[Ag-Kl] S. Agmon et M. Klein, Exposé au colloque d'analyse microlocale d'Oberwolfach, 1987.

[B-B] D. Babbit et E. Balslev, Local Distorsion Techniques and the Unitary of the S-Matrix for the Two-Body Problem, J. Math. Anal. Appl., vol. 54, 1976, p. 316-349. | MR

[B1] E. Balslev, Analytic Scattering Theory for Two-Body Schrôdinger Operators, J. Funt. Anal., vol. 29, 1978, p. 375-396. | MR | Zbl

[B2] E. Balslev, Local Spectral Deformation Techniques for Schrôdinger Operators, J. Funt. Anal., vol. 58, 1984, p. 79-105. | MR | Zbl

[B3] E. Balslev, Analytic Scattering Theory of Quantum Mechanical Three-Body Systems, Ann. I.H.P., section A, vol. 23, 1980, p. 125-160. | Numdam | MR | Zbl

[B4] E. Balslev, Analytic Scattering Theory for Many-Body Systems Below the Smallest Three-Body Threshold, Comm. Math. Phys., vol. 77, 1980, p. 173- 210. | MR | Zbl

[Ba-Co] E. Balslev et J.-M. Combes, Spectral Properties of Many-Body Schrödinger Operators with Dilation-Analytic Interactions, Comm. Math. Phys., vol. 22, 1971, p. 280-294. | MR | Zbl

[Ba] T. Bang, On Quasi-analytische Funktionen, Thèse, Univ. de Copenhague, 1946.

[Ca-Za] L. Cattabriga et L. Zanghirati, Fourier Integral Operators of Infinite Order on Gevrey Spaces. Applications to the Cauchy Problem for Hyperbolic Operators, in Advances in Microlocal Analysis, série C, vol. 168, Nato ASI Series, 1985. | Zbl

[Cy] H.L. Cycon, Resonances Defined by Modified Dilations, Helv. Phys. Acta, vol. 58, 1985, p. 969-981. | MR

[De] J. Derezinski, Existence and Analyticity of Many-Body Scattering Amplitudes at low Energies, J. Math. Phys., vol. 28, 1987, p. 1080-1088. | MR | Zbl

[Ge-Ma] C. Gérard et A. Martinez, Semiclassical Asymptotics for the Spectral Function of Long range Schrôdinger Operators, J. Funct. Anal., vol. 84, n° 1, 1989, p. 226-254. (Voir aussi exposé des Actes du colloque E.D.P. de Saint-Jean-de-Monts, 1987). | MR | Zbl

[Ha] G. Hagedorn, A Link Between Scattering Resonances and Dilation Analytic Resonances in Few-Body Quantum Mechanics, Comm. Math. Phys., vol. 65, 1979, p. 181-188. | MR | Zbl

[He-Ma] B. Helffer et A. Martinez, Comparaison entre les diverses notions de résonances, Helv. Phys. Acta, vol. 60, 1987, p. 992-1003. | MR

[He-Sj] B. Helffer et J. Sjöstrand, Resonances en limite semiclassique, Bull. S.M.F., mémoires n° 24/25, 114, 1986.

[Hö] L. Hormander, An Introduction to Complex Analysis in Several Variables, North-Holland, 1973. | MR

[Hu] W. Hunziker, Distorsion Analycicity and Molecular Resonances Curves, Ann. I.H.P., Section A, 1986. | Numdam

[I] H. Isozaki, Differentiability of Generalized Fourier Transform Associated with Schrôdinger Operators, J. Math. Kyoto Univ., vol. 25, 1985, p. 789-806. | MR | Zbl

[I-K1] H. Isozaki et H. Kitada, Modified wave operators with time independent modifiers, J. Fac. Sci. Tokyo Univ., Sect. 1A, 32, 1985, p. 77-104. | MR | Zbl

[I-K2] H. Isozaki et H. Kitada, Scattering Matrices for Two-Body Schrôdinger Operators. Scientific Papers of the College of Arts and Sciences, Tokyo Univ., vol. 35, 1985, p. 81-107. | MR | Zbl

[Je] A. Jensen, Local Distorsion Techniques, Resonances and Poles of the S-Matrix, J. Math. Anal. Appl., vol. 59, 1977, p. 505-513. | MR | Zbl

[Ku] S.T. Kuroda, An Introduction to Scattering Theory, Aarhus Univ. Lecture Notes, n° 51, 1978. | MR | Zbl

[La-Li] L. Landau et E. Lifchitz, Mécanique quantique, théorie non relativiste, Mir éd., 1967.

[La] P. Laubin, Analyse microlocale des singularités analytiques, Bull. Soc. Roy. Sci. Liège, vol. 52, 1983, p. 103-212. | MR | Zbl

[L-P] P.D. Lax et R.S. Phillips, Scattering Theory, Academic Press, 1967. | MR | Zbl

[Re-Si] M. Reed et B. Simon, Methods of Modern Mathematical Physics, vol. III et IV, Academic Press, 1978.

[Ro] C. Roumieu, Sur quelques extensions de distributions, Ann. Sci. Ec. Norm. Sup., 3e série, t. 77, 1960, p. 41-121. | Numdam | MR | Zbl

[S-T] N. Shenk et D. Thoe, Resonant states and poles of the scattering matrix for perturbations of -Δ, J. Math. Anal. Appl., vol. 54, 1976, p. 316-349. | MR

[Si1] I.M. Sigal, Scattering Theory for Many-Body Systems-Rigorous Results, Lect. Notes in Math., n° 1011, Springer, 1983. | MR

[Si2] I.M. Sigal, Analytic Properties of the Scattering Matrix of Many Particle Systems, Integral Equations and Operator Theory, vol. 9, 1986, p. 134-153. | MR | Zbl

[Sim1] B. Simon, The Definition of Molecular Resonances Curves by the Method of Exterior Complex Scaling, Phys. Lett., vol. 71A, 1979, p. 211-214.

Sim2] B. Simon, Resonances in N-Body Quantum Systems with Dilation-Analytic Potentials and the Foundation of Time-Dependent Perturbation Theory, Ann. Math., vol. 97, 1973, p. 247-272. | MR | Zbl

[Sj] J. Sjöstrand, Singularités analytiques microlocales, Astérisque, vol. 95, 1982. | Numdam | MR | Zbl