On the Born-Oppenheimer approximation of diatomic wave operators. II. Singular potentials

Journal of Mathematical Physics

Volumn 38, Issue 3, 1997, Pages 1373-1396

  Klein, Markus ^a   Martinez, André ^b   Wang, Xue Ping ^c  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

^b UNIVERSITÉ PARIS 13   (France)

^c UNIVERSITÉ DE NANTES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031480451     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532189     Document Type: Article

References (11)

1. A. Raphaelian, "Ion-atom scattering within a Born-Oppenheimer framework," dissertation T. U. Berlin, 1986.
2. M. Klein, A. Martinez, and X. P. Wang, "On the Born-Oppenheimer approximation of wave operators in molecular scattering theory," Commun. Math. Phys. 152, 73-95 (1993).
3. E. Mourre, "Absence of singular continuous spectrum for certain self-adjoint operators," Commun. Math. Phys. 78, 391-408 (1981).
4. M. Klein, A. Martinez, R. Seiler, and X. P. Wang, "On the Born-Oppenheimer expansion for polyatomic molecules," Commun. Math. Phys. 143, 606-639 (1992).
5. A. Martinez, "Sur l'approximation de Born-Oppenheimer des opérateurs d'onde," Séminaires E. D. P. de l'Ecole Polytechnique, 1994-95.
6. S. Agmon, Lectures on exponential decay of solutions of second-order elliptic equations (Princeton U.P., Princeton, NJ, 1982).
7. J. M. Combes, P. Duclos, and R. Seiler, "The Born-Oppenheimer approximation," in Rigorous Atomic and Molecular Physics, edited by A. S. Wightman and A. Velo (Plenum, New York, 1981).
8. C. Gérard and A. Martinez, "Principe d'absorption limite pour des opérateurs de Schrödinger à longue portée," C. R. Acad. Sci. Paris I, 906, 121-123 (1988).
9. M. Reed and B. Simon, Methods of Modern Mathematical Physics (Academic, New York, 1978).
10. B. Helffer and D. Robert, "Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles," J. Funct. Anal. 53(3), 246-268 (1983).
11. B. Helffer and J. Sjöstrand, "Semiclassical Analysis for Harper Equation III," Mémoire de la SMF, N.39, tome 117, fascicule 4 (1989).