Matrice de scattering et résonances associées à une orbite hétérocline

 Access to full text

 Full (PDF)

1. [B-C-D]1 P. Briet, J.-M. Combes and P. Duclos, 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. Zbl0629.47043MR900530
2. [B-C-D]2 P. Briet, J.-M. Combes and P. Duclos, 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. Zbl0622.47047MR876987
3. [De] J.M. Delort, F.B.I. transformation, Lecture Notes in Maths n.1522, Springer–Verlag, 1993. MR1186645
4. [Du] P. Duclos, A global approach to the location of quantum resonances, Operator Theory: Advances and Applications, vol.57, Birkhäuser Verlag, 1992. Zbl0877.47038MR1230889
5. [Ec] J. Ecalle, Les Fonctions résurgentes, Publications Mathématiques d'Orsay, 1981, p. 81-05. 
6. [Fu-Ra] S. Fujiié and T. Ramond, Semiclassical resonances for the radial Schrödinger equation at fixed angular momentum, en préparation. 
7. [Ge-Gr] C. Gérard and A. Grigis, Precise estimates of tunneling and eigenvalues near a potential barrier, J. of Diff. Equations, vol. 42, 1988, p.149-177. Zbl0668.34022MR929202
8. [He-Sj]1 B. Helffer and J. Sjöstrand, Résonances en limite semiclassique, Mémoires de la Société Mathématique de France, n. 24,25, 1985. 
9. [He-Sj]2 B. Helffer and J. Sjöstrand, Semiclassical analysis of Harper's equation III, Bull. Soc. Math. France, Mémoire n.39, 1990. Zbl0759.47022
10. [Ko] Korsch, Semiclassical theory of resonances, Lecture Notes in Physics No. 211, Springer, 1987. 
11. [L-T-M] S.Y. Lee, N. Takigawa and C. Marty, A semiclassical study of optical potentials: Potential resonances, Nuclear Physics A308, 1978, p.161-188. 
12. [Mä] C. März, Spectral asymptotics for Hill's equation near the potential maximum, Asymptotic Analysis5, 1992, p.221-267. Zbl0786.34080MR1145112
13. [Po] C. Pommerenke, Univalent functions, Studia Mathematica XXV, Vandenhoeck and Ruprecht, Göttingen1975. MR507768
14. [Ra] T. Ramond, Semiclassical study of quantum scattering on the line, Communications in Mathematical Physics Vol. 177, 1996, p.221-254. Zbl0848.34074MR1382227
15. [Sj]1 S. Sjöstrand, Semiclassical resonances generated by non-degenerate critical points, Lecture Notes in Maths n.1256, Springer, 1987, p.402-429. Zbl0627.35074
16. [Sj]2 S. Sjöstrand, Singularités analytiques microlocales, Astérisque n.95, 1982. Zbl0524.35007
17. [Sj-Zw] S. Sjöstrand and M. Zworski, Complex scaling and distribution of scattering poles, Journal of the American Mathematical Society, Vol. 4, 1991. Zbl0752.35046MR1115789
18. [Vo] A. Voros, The Return of the Quartic Oscillator. The Complex WKB Method. Ann. Inst. H. Poincaré Phys. Théor., vol. 39 (3), (1983). Zbl0526.34046MR729194

1. Jean-François Bony, Résonances près d’une énergie critique
2. Frédéric Klopp, Magali Marx, The width of resonances for slowly varying perturbations of one-dimensional periodic Schrödinger operators
3. Jean-François Bony, Laurent Michel, Microlocalization of resonant states and estimates of the residue of the scattering amplitude
4. Johannes Sjöstrand, Bohr–Sommerfeld quantization condition for non-selfadjoint operators in dimension 2.