@article{AIHPA_1998__69_1_31_0, author = {Fujii\'e, Setsuro and Ramond, Thierry}, title = {Matrice de scattering et r\'esonances associ\'ees \`a une orbite h\'et\'erocline}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {31--82}, publisher = {Gauthier-Villars}, volume = {69}, number = {1}, year = {1998}, mrnumber = {1635811}, zbl = {0916.34071}, language = {fr}, url = {http://www.numdam.org/item/AIHPA_1998__69_1_31_0/} }
TY - JOUR AU - Fujiié, Setsuro AU - Ramond, Thierry TI - Matrice de scattering et résonances associées à une orbite hétérocline JO - Annales de l'I.H.P. Physique théorique PY - 1998 SP - 31 EP - 82 VL - 69 IS - 1 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1998__69_1_31_0/ LA - fr ID - AIHPA_1998__69_1_31_0 ER -
%0 Journal Article %A Fujiié, Setsuro %A Ramond, Thierry %T Matrice de scattering et résonances associées à une orbite hétérocline %J Annales de l'I.H.P. Physique théorique %D 1998 %P 31-82 %V 69 %N 1 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPA_1998__69_1_31_0/ %G fr %F AIHPA_1998__69_1_31_0
Fujiié, Setsuro; Ramond, Thierry. Matrice de scattering et résonances associées à une orbite hétérocline. Annales de l'I.H.P. Physique théorique, Tome 69 (1998) no. 1, pp. 31-82. http://www.numdam.org/item/AIHPA_1998__69_1_31_0/
[B-C-D]1 On the location of resonances for Schrödinger operators in the semiclassical limit I: Resonances free domains, Journal of Mathematical Analysis and Applications, vol. 126, 1987, n.1. | MR | Zbl
, and ,[B-C-D]2 On the location of resonances for Schrödinger operators in the semiclassical limit II: Barrier top resonances, Comm. in Partial Differential Equations, vol. 12, 2, 1987, p.201-222. | MR | Zbl
, and ,[De] F.B.I. transformation, Lecture Notes in Maths n.1522, Springer-Verlag, 1993. | MR
,[Du] A global approach to the location of quantum resonances, Operator Theory: Advances and Applications, vol.57, Birkhäuser Verlag, 1992. | MR | Zbl
,[Ec] Les Fonctions résurgentes, Publications Mathématiques d'Orsay, 1981, p. 81-05.
,[Fu-Ra] Semiclassical resonances for the radial Schrödinger equation at fixed angular momentum, en préparation.
and ,[Ge-Gr] Precise estimates of tunneling and eigenvalues near a potential barrier, J. of Diff. Equations, vol. 42, 1988, p.149-177. | MR | Zbl
and ,[He-Sj]1 Résonances en limite semiclassique, Mémoires de la Société Mathématique de France, n. 24,25, 1985.
and ,[He-Sj]2 Semiclassical analysis of Harper's equation III, Bull. Soc. Math. France, Mémoire n.39, 1990.
and ,[Ko] Semiclassical theory of resonances, Lecture Notes in Physics No. 211, Springer, 1987.
,[L-T-M] A semiclassical study of optical potentials: Potential resonances, Nuclear Physics A308, 1978, p.161-188.
, and ,[Mä] Spectral asymptotics for Hill's equation near the potential maximum, Asymptotic Analysis 5, 1992, p.221-267. | MR | Zbl
,[Po] Univalent functions, Studia Mathematica XXV, Vandenhoeck and Ruprecht, Göttingen 1975. | MR | Zbl
,[Ra] Semiclassical study of quantum scattering on the line, Communications in Mathematical Physics Vol. 177, 1996, p.221-254. | MR | Zbl
,[Sj]1 Semiclassical resonances generated by non-degenerate critical points, Lecture Notes in Maths n.1256, Springer, 1987, p.402-429. | Zbl
,[Sj]2 Singularités analytiques microlocales, Astérisque n.95, 1982. | Numdam | Zbl
,[Sj-Zw] Complex scaling and distribution of scattering poles, Journal of the American Mathematical Society, Vol. 4, 1991. | MR | Zbl
and ,[Vo] The Return of the Quartic Oscillator. The Complex WKB Method. Ann. Inst. H. Poincaré Phys. Théor., vol. 39 (3), (1983). | EuDML | Numdam | MR | Zbl
,