@article{AIHPA_1998__69_1_83_0,
author = {Jecko, Th.},
title = {Classical limit of elastic scattering operator of a diatomic molecule in the {Born-Oppenheimer} approximation},
journal = {Annales de l'I.H.P. Physique th\'eorique},
pages = {83--131},
year = {1998},
publisher = {Gauthier-Villars},
volume = {69},
number = {1},
mrnumber = {1635815},
zbl = {1004.81511},
language = {en},
url = {https://www.numdam.org/item/AIHPA_1998__69_1_83_0/}
}
TY - JOUR AU - Jecko, Th. TI - Classical limit of elastic scattering operator of a diatomic molecule in the Born-Oppenheimer approximation JO - Annales de l'I.H.P. Physique théorique PY - 1998 SP - 83 EP - 131 VL - 69 IS - 1 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPA_1998__69_1_83_0/ LA - en ID - AIHPA_1998__69_1_83_0 ER -
%0 Journal Article %A Jecko, Th. %T Classical limit of elastic scattering operator of a diatomic molecule in the Born-Oppenheimer approximation %J Annales de l'I.H.P. Physique théorique %D 1998 %P 83-131 %V 69 %N 1 %I Gauthier-Villars %U https://www.numdam.org/item/AIHPA_1998__69_1_83_0/ %G en %F AIHPA_1998__69_1_83_0
Jecko, Th. Classical limit of elastic scattering operator of a diatomic molecule in the Born-Oppenheimer approximation. Annales de l'I.H.P. Physique théorique, Tome 69 (1998) no. 1, pp. 83-131. https://www.numdam.org/item/AIHPA_1998__69_1_83_0/
[A] , Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations. Princeton University Press, 1982. | Zbl | MR
[Ba] , Calcul fonctionnel pour des opérateurs h-admissibles à symbole opérateur et applications. Thèse de troisième cycle, université de Nantes, 1985.
[Bo] and , Zur Quantentheorie der Molekeln. Annalen der Physik, Vol. 84, 1927, p. 457. | JFM
[HR] and , Calcul fonctionnel par la transformation de Melin et opérateurs admissibles, J. Funct. Anal., Vol. 53, 1983, pp. 246-268. | Zbl | MR
[HS] , , Opérateurs de Schrödinger avec champs magnétiques faibles et constants. Exposé No. XII, Séminaire EDP, février 1989, École Polytechnique. | Zbl | MR | Numdam
[IK] and , Modified wave operatprs with time-dependent modifiers, J. Fac. Sci. Univ. Tokyo, Vol. 32, 1985, pp. 77-104. | Zbl | MR
[J] , Sections efficaces totales d'une molécule diatomique dans l'approximation de Born-Oppenheimer. Thèse de doctorat, Université de Nantes, 1996.
[KMSW] , , and , On the Born-Oppenheimer Expansion for Polyatomic Molecules. Commun. Math. Phys., Vol. 143, 1992, pp. 606-639. | Zbl | MR
[KMW1] , and , On the Born-Oppenheimer Approximation of Wave Operators in Molecular Scattering Theory. Commun. Math. Phys., Vol. 152, 1993, pp. 73-95. | Zbl | MR
[KMW2] , , , On the Born-Oppenheimer Approximation of Wave Operators II: Singular Potentials, preprint.
[RS3] and , Methods of Modern Mathematical Physics, Tome III: Scattering Theory. Academic Press 1979. | Zbl | MR
[RS4] and , Methods of Modern Mathematical Physics, Tome IV: Analysis of Operators. Academic Press. | Zbl
[Ro] , Autour de l'approximation semi-classique, Birkhäuser 1987. | Zbl | MR
[RT] and , Semiclassical estimates for resolvents and asymptotics for total cross-section, Ann. IHP Vol. 46, 1987, pp. 415-442. | Zbl | MR | Numdam
[SS] and , The N-particle scattering problem: asymptotic completeness for short range systems. Ann. of Math., Vol. 126, 1987, pp. 35-108. | Zbl | MR
[WI] , Time-Decay of Scattering Solutions and resolvent Estimates for Semi-classical Schrödinger Operators. J. Diff. Eq., Vol. 71, 1988, pp. 348-396. | Zbl
[W2] , Time-Decay of Scattering Solutions and Classical Trajectories. Ann. IHP, Vol. 47, 1987, pp. 25-37. | Zbl | MR | Numdam
[W3] , Time-Decay Operators in the Semiclassical Limit II, Short Range Potentials. Trans. AMS, Vol. 322, 1990. | Zbl | MR
[W4] , Approximation semi-classique de l'équation d'Heisenberg. Commun. in Math. Phys., Vol.104, 1986, pp.77-86. | Zbl | MR
[Y] , The quasi-classical limit of quantum scattering theory. Comm. in Math. Phys., Vol. 69, 1979, pp. 101-129. | Zbl






