Semiclassical resolvent estimates for two and three-body Schrödinger operators

Christian Gérard

Journées équations aux dérivées partielles (1989)

  • page 1-10
  • ISSN: 0752-0360

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Gérard, Christian. "Semiclassical resolvent estimates for two and three-body Schrödinger operators." Journées équations aux dérivées partielles (1989): 1-10. <http://eudml.org/doc/93192>.

@article{Gérard1989,
author = {Gérard, Christian},
journal = {Journées équations aux dérivées partielles},
keywords = {Resolvent estimates; semiclassical limit; three-body Schrödinger operators; commutator; escape function},
language = {eng},
pages = {1-10},
publisher = {Ecole polytechnique},
title = {Semiclassical resolvent estimates for two and three-body Schrödinger operators},
url = {http://eudml.org/doc/93192},
year = {1989},
}

TY - JOUR
AU - Gérard, Christian
TI - Semiclassical resolvent estimates for two and three-body Schrödinger operators
JO - Journées équations aux dérivées partielles
PY - 1989
PB - Ecole polytechnique
SP - 1
EP - 10
LA - eng
KW - Resolvent estimates; semiclassical limit; three-body Schrödinger operators; commutator; escape function
UR - http://eudml.org/doc/93192
ER -

References

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  3. [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). Zbl0619.47005
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  6. [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. Zbl0672.35013
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  9. [He-Sj] B. Helffer, J. Sjöstrand : Résonances en limite semiclassique. Bull. de la S.M.F. mémoire n° 24/25, tome 114 (1986). Zbl0631.35075
  10. [H-N] P. Hislop, S. Nakamura : Semiclassical resolvent estimates. Preprint (1988). Zbl0719.35064
  11. [Hö] L. Hörmander : The analysis of linear partial differential operators III, Springer Verlag Berlin Heidelberg New York Tokyo (1985). Zbl0601.35001
  12. [Je] A. Jensen : High energy resolvent estimates for generalized many body Schrödinger operators. Preprint (1988). 
  13. [M] E. Mourre : Absence of singular continuous spectrum for certain selfadjoint operators. Comm. in Math. Phys. 78 (1981), 391-408. Zbl0489.47010MR82c:47030
  14. [P-S-S] P. Perry, I.M. Sigal, B. Simon : Spectral analysis of N- body Schrödinger operators. Ann. of Math. 114 (1981), 519-567. Zbl0477.35069MR83b:81129
  15. [Ro] D. Robert : Autour de l'approximation semiclassique, Birkhaüser (1983). Zbl0621.35001
  16. [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. Zbl0648.35066MR89b:81041
  17. [Ro-Ta2] D. Robert, H. Tamura : Asymptotic behavior of Schrödinger operators scattering amplitudes in semiclassical and low energy limits. Preprint (1988). 
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  20. [Wa2] X.P. Wang : Semiclassical estimates on resolvents of Schrödinger operators with homogeneous electric field. Preprint (1988). 

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