@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}, publisher = {Gauthier-Villars}, volume = {69}, number = {1}, year = {1998}, mrnumber = {1635815}, zbl = {1004.81511}, language = {en}, url = {http://archive.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 - http://archive.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 http://archive.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, Volume 69 (1998) no. 1, pp. 83-131. http://archive.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. | MR | Zbl
,[Ba] Calcul fonctionnel pour des opérateurs h-admissibles à symbole opérateur et applications. Thèse de troisième cycle, université de Nantes, 1985.
,[Bo] Zur Quantentheorie der Molekeln. Annalen der Physik, Vol. 84, 1927, p. 457. | JFM
and ,[HR] Calcul fonctionnel par la transformation de Melin et opérateurs admissibles, J. Funct. Anal., Vol. 53, 1983, pp. 246-268. | MR | Zbl
and ,[HS] Opérateurs de Schrödinger avec champs magnétiques faibles et constants. Exposé No. XII, Séminaire EDP, février 1989, École Polytechnique. | Numdam | MR | Zbl
, ,[IK] Modified wave operatprs with time-dependent modifiers, J. Fac. Sci. Univ. Tokyo, Vol. 32, 1985, pp. 77-104. | MR | Zbl
and ,[J] Sections efficaces totales d'une molécule diatomique dans l'approximation de Born-Oppenheimer. Thèse de doctorat, Université de Nantes, 1996.
,[KMSW] On the Born-Oppenheimer Expansion for Polyatomic Molecules. Commun. Math. Phys., Vol. 143, 1992, pp. 606-639. | MR | Zbl
, , and ,[KMW1] On the Born-Oppenheimer Approximation of Wave Operators in Molecular Scattering Theory. Commun. Math. Phys., Vol. 152, 1993, pp. 73-95. | MR | Zbl
, and ,[KMW2] On the Born-Oppenheimer Approximation of Wave Operators II: Singular Potentials, preprint.
, , ,[RS3] Methods of Modern Mathematical Physics, Tome III: Scattering Theory. Academic Press 1979. | MR | Zbl
and ,[RS4] Methods of Modern Mathematical Physics, Tome IV: Analysis of Operators. Academic Press. | Zbl
and ,[Ro] Autour de l'approximation semi-classique, Birkhäuser 1987. | MR | Zbl
,[RT] Semiclassical estimates for resolvents and asymptotics for total cross-section, Ann. IHP Vol. 46, 1987, pp. 415-442. | Numdam | MR | Zbl
and ,[SS] The N-particle scattering problem: asymptotic completeness for short range systems. Ann. of Math., Vol. 126, 1987, pp. 35-108. | MR | Zbl
and ,[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. | Numdam | MR | Zbl
,[W3] Time-Decay Operators in the Semiclassical Limit II, Short Range Potentials. Trans. AMS, Vol. 322, 1990. | MR | Zbl
,[W4] Approximation semi-classique de l'équation d'Heisenberg. Commun. in Math. Phys., Vol.104, 1986, pp.77-86. | MR | Zbl
,[Y] The quasi-classical limit of quantum scattering theory. Comm. in Math. Phys., Vol. 69, 1979, pp. 101-129. | Zbl
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