Semiclassical resolvent estimates for two and three-body Schrödinger operators
Journées équations aux dérivées partielles (1989), article no. 18, 10 p. 
@incollection{JEDP_1989____A18_0,
     author = {G\'erard, Christian},
     title = {Semiclassical resolvent estimates for two and three-body {Schr\"odinger} operators},
     booktitle = {},
     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {18},
     pages = {1--10},
     year = {1989},
     publisher = {Ecole polytechnique},
     doi = {10.5802/jedp.379},
     zbl = {0711.35096},
     language = {en},
     url = {https://www.numdam.org/articles/10.5802/jedp.379/}
}
TY  - JOUR
AU  - Gérard, Christian
TI  - Semiclassical resolvent estimates for two and three-body Schrödinger operators
JO  - Journées équations aux dérivées partielles
PY  - 1989
SP  - 1
EP  - 10
PB  - Ecole polytechnique
UR  - https://www.numdam.org/articles/10.5802/jedp.379/
DO  - 10.5802/jedp.379
LA  - en
ID  - JEDP_1989____A18_0
ER  - 
%0 Journal Article
%A Gérard, Christian
%T Semiclassical resolvent estimates for two and three-body Schrödinger operators
%J Journées équations aux dérivées partielles
%D 1989
%P 1-10
%I Ecole polytechnique
%U https://www.numdam.org/articles/10.5802/jedp.379/
%R 10.5802/jedp.379
%G en
%F JEDP_1989____A18_0
Gérard, Christian. Semiclassical resolvent estimates for two and three-body Schrödinger operators. Journées équations aux dérivées partielles (1989), article  no. 18, 10 p.. doi: 10.5802/jedp.379

[Ag] S. Agmon : Lectures on exponential decay of solutions to second order elliptic equations. Princeton University Press (1982). | Zbl

[B-C-D] P. Briet, J-M. Combes, P. Duclos : On the location of resonances of Schrödinger operators in the semiclassical limit I. Resonances free domains, J. of Math. Anal. and Appl. Vol. 126, n° 1 (1987), 90-99. | MR | Zbl

[C-F-K-S] H.L. Cycon, R.G. Froese, W. Kirsch, B. Simon : Schrödinger operators with applications to quantum mechanics and global geometry. Texts and Monographs in Physics, Springer Verlag (1987). | Zbl

[De] J. Derezinski : A new proof of propagation Theorem for N-body quantum system. Preprint (1988).

[F-H] R.G. Froese, I. Herbst : A new proof of Mourre estimate, Duke Math. J. Vol. 49, n° 4 (1982), 1075-1085. | MR | Zbl

[Ge-Ma] Ch. Gérard, A. Martinez : Principe d'absorption limite pour des opérateurs de Schrödinger à longue portée. C.R. Acad. Sci. Paris t.306, série I (1988), 121-123. | Zbl

[Ge-Sj] Ch. Gérard, J. Sjöstrand : Semiclassical resonances generated by a closed trajectory of hyperbolic type. Comm. in Math. Phys. 108 (1987), 391-421. | MR | Zbl

[He-Ro] B. Helffer, D. Robert : Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles. J. Funct. Anal. 53 (1983), 246-268. | MR | Zbl

[He-Sj] B. Helffer, J. Sjöstrand : Résonances en limite semiclassique. Bull. de la S.M.F. mémoire n° 24/25, tome 114 (1986). | Numdam | Zbl

[H-N] P. Hislop, S. Nakamura : Semiclassical resolvent estimates. Preprint (1988). | Numdam | Zbl

[Hö] L. Hörmander : The analysis of linear partial differential operators III, Springer Verlag Berlin Heidelberg New York Tokyo (1985). | Zbl

[Je] A. Jensen : High energy resolvent estimates for generalized many body Schrödinger operators. Preprint (1988).

[M] E. Mourre : Absence of singular continuous spectrum for certain selfadjoint operators. Comm. in Math. Phys. 78 (1981), 391-408. | MR | Zbl

[P-S-S] P. Perry, I.M. Sigal, B. Simon : Spectral analysis of N- body Schrödinger operators. Ann. of Math. 114 (1981), 519-567. | MR | Zbl

[Ro] D. Robert : Autour de l'approximation semiclassique, Birkhaüser (1983). | Zbl

[Ro-Ta1] D. Robert, H. Tamura : Semiclassical estimates for resolvents of Schrödinger operators and asymptotics for total scattering cross sections. Ann. I.H.P. 46 (1987), 415-442. | Numdam | MR | Zbl

[Ro-Ta2] D. Robert, H. Tamura : Asymptotic behavior of Schrödinger operators scattering amplitudes in semiclassical and low energy limits. Preprint (1988).

[Sj] J. Sjöstrand : Private communication.

[Wa1] X.P. Wang : Asymptotiques semiclassiques pour les opérateurs de Schrödinger et de Dirac. Thèse d'Etat (1986).

[Wa2] X.P. Wang : Semiclassical estimates on resolvents of Schrödinger operators with homogeneous electric field. Preprint (1988).

Cité par Sources :