@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},
volume = {69},
year = {1998},
pages = {31-82},
mrnumber = {1635811},
zbl = {0916.34071},
language = {fr},
url = {http://dml.mathdoc.fr/item/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) pp. 31-82. http://gdmltest.u-ga.fr/item/AIHPA_1998__69_1_31_0/
[B-C-D]1 , and , 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 900530 | Zbl 0629.47043
[B-C-D]2 , and , 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 876987 | Zbl 0622.47047
[De] , F.B.I. transformation, Lecture Notes in Maths n.1522, Springer-Verlag, 1993. | MR 1186645
[Du] , A global approach to the location of quantum resonances, Operator Theory: Advances and Applications, vol.57, Birkhäuser Verlag, 1992. | MR 1230889 | Zbl 0877.47038
[Ec] , Les Fonctions résurgentes, Publications Mathématiques d'Orsay, 1981, p. 81-05.
[Fu-Ra] and , Semiclassical resonances for the radial Schrödinger equation at fixed angular momentum, en préparation.
[Ge-Gr] and , Precise estimates of tunneling and eigenvalues near a potential barrier, J. of Diff. Equations, vol. 42, 1988, p.149-177. | MR 929202 | Zbl 0668.34022
[He-Sj]1 and , Résonances en limite semiclassique, Mémoires de la Société Mathématique de France, n. 24,25, 1985.
[He-Sj]2 and , Semiclassical analysis of Harper's equation III, Bull. Soc. Math. France, Mémoire n.39, 1990.
[Ko] , Semiclassical theory of resonances, Lecture Notes in Physics No. 211, Springer, 1987.
[L-T-M] , and , A semiclassical study of optical potentials: Potential resonances, Nuclear Physics A308, 1978, p.161-188.
[Mä] , Spectral asymptotics for Hill's equation near the potential maximum, Asymptotic Analysis 5, 1992, p.221-267. | MR 1145112 | Zbl 0786.34080
[Po] , Univalent functions, Studia Mathematica XXV, Vandenhoeck and Ruprecht, Göttingen 1975. | MR 507768 | Zbl 0298.30014
[Ra] , Semiclassical study of quantum scattering on the line, Communications in Mathematical Physics Vol. 177, 1996, p.221-254. | MR 1382227 | Zbl 0848.34074
[Sj]1 , Semiclassical resonances generated by non-degenerate critical points, Lecture Notes in Maths n.1256, Springer, 1987, p.402-429. | Zbl 0627.35074
[Sj]2 , Singularités analytiques microlocales, Astérisque n.95, 1982. | Zbl 0524.35007
[Sj-Zw] and , Complex scaling and distribution of scattering poles, Journal of the American Mathematical Society, Vol. 4, 1991. | MR 1115789 | Zbl 0752.35046
[Vo] , The Return of the Quartic Oscillator. The Complex WKB Method. Ann. Inst. H. Poincaré Phys. Théor., vol. 39 (3), (1983). | Numdam | MR 729194 | Zbl 0526.34046