@article{AIHPA_1999__71_6_561_0, author = {Benchaou, Mohammed and Martinez, Andr\'e}, title = {Estimations exponentielles en th\'eorie de la diffusion pour des op\'erateurs de Schr\"odinger matriciels}, journal = {Annales de l'I.H.P. Physique th\'eorique}, volume = {71}, year = {1999}, pages = {561-594}, mrnumber = {1732143}, zbl = {1024.81051}, language = {fr}, url = {http://dml.mathdoc.fr/item/AIHPA_1999__71_6_561_0} }
Benchaou, Mohammed; Martinez, André. Estimations exponentielles en théorie de la diffusion pour des opérateurs de Schrödinger matriciels. Annales de l'I.H.P. Physique théorique, Tome 71 (1999) pp. 561-594. http://gdmltest.u-ga.fr/item/AIHPA_1999__71_6_561_0/
[1] Estimations de diffusion pour un opérateur de Klein-Gordon dépendant du temps, Bull. Soc. Math. de France 126 (1998) 273-294. | Numdam | MR 1675973 | Zbl 0919.35099
,[2] Principe d'absorption limite pour des opérateurs de Schrödinger à longue porté, C. R. Acad. Sci. Paris 906 I (1988) 121-123. | MR 929103 | Zbl 0672.35013
and ,[3] Equation de Schrödinger avec champ magnétique et équation de Harper, Lecture Notes in Physics, vol. 345, Springer, Berlin, 1989, 118-197. | MR 1037319 | Zbl 0699.35189
and ,[4] Decay rates of scattering states for Schrödinger operators, J. Math. Kyoto Univ. 26 (1986) 595-603. | MR 864463 | Zbl 0622.35055
,[5] Sections efficaces totales d'une molécule diatomique dans l'approximation de Born-Oppenheimer, Thèse de Doctorat, Université de Nantes, 1996.
,[6] Mapping properties for wave and scattering operators for two-body Schrödinger operators, Lett. Math. Phys. 24 (1992) 295- 305. | MR 1172457 | Zbl 0761.35074
and ,[7] Adiabatik und Semiklassik bei Regularität vom Gevrey-Typ, Ph.D. Thesis, Technische Universität Berlin, 1997.
,[8] On the Born-Oppenheimer approximation of wave operators, Comm. Math. Phys. 152 (1993).
, and ,[9] On the Born-Oppenheimer approximation of wave operators II: Singular potentials, J. Math. Phys. 38 (3) (1997) 1373- 1396. | MR 1435674 | Zbl 0874.35103
, and ,[10] On the Born-Oppenheimer expansion for polyatomic molecules, Comm. Math. Phys. 143 (1992). | MR 1145603 | Zbl 0754.35099
, , and ,[11] Estimates on complex interactions in phase space, Math. Nachr. 167 (1994) 203-254. | MR 1285313 | Zbl 0836.35135
,[12] Precise exponential estimates in adiabatic theory, J. Math. Phys. 35 (8) (1994) 3889-3915. | MR 1284618 | Zbl 0808.47053
,[13] Fourier integral operators with complex-valued phase functions, Lecture Notes in Math., vol. 459, Springer, Berlin, 1975, 120- 223. | MR 431289 | Zbl 0306.42007
and ,[14] Absence of singular continuous spectrum for certain self-adjoint operators, Comm. Math. Phys. 78 (1981) 391-408. | MR 603501 | Zbl 0489.47010
,[15] On an example of phase-space tunneling, Ann. Inst. H. Poincaré, 63 (2) (1995). | Numdam | MR 1357496 | Zbl 0833.34088
,[16] On Martinez' method of phase space tunneling, Rev. Math. Phys. 7 (3) (1995) 431-441. | MR 1326141 | Zbl 0842.35145
,[17] Tunneling effects in momentum space and scattering, in: M. Ikawa (Ed.), Spectral and Scattering Theory, Lecture Notes in Pure Appl. Math., vol. 161, Marcel Decker, New York, 1994. | MR 1291641 | Zbl 0827.35097
,[18] Methods of Modern Mathematical Physics, Academic Press, 1972.
and ,[19] Autour de l'Approximation Semi-Classique, Birkhäuser, 1987. | MR 897108 | Zbl 0621.35001
,[20] Singularités analytiques microlocales, Astérisque 95 (1982). | MR 699623 | Zbl 0524.35007
,[21] Time-decay of scattering solutions and resolvent estimates for semiclassical Schrödinger operators, J. Differential Equations 71 (1988) 348-395. | MR 927007 | Zbl 0651.35022
,