Résonances et time decay en limite semiclassique

C. Gérard

Séminaire Équations aux dérivées partielles (Polytechnique) (1990-1991)

  • page 1-7

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Gérard, C.. "Résonances et time decay en limite semiclassique." Séminaire Équations aux dérivées partielles (Polytechnique) (1990-1991): 1-7. <http://eudml.org/doc/112003>.

@article{Gérard1990-1991,
author = {Gérard, C.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {semiclassical Hamiltonians},
language = {fre},
pages = {1-7},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Résonances et time decay en limite semiclassique},
url = {http://eudml.org/doc/112003},
year = {1990-1991},
}

TY - JOUR
AU - Gérard, C.
TI - Résonances et time decay en limite semiclassique
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1990-1991
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 7
LA - fre
KW - semiclassical Hamiltonians
UR - http://eudml.org/doc/112003
ER -

References

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  1. [Ag] S. Agmon: Lectures on exponential decay of solutions of second order elliptic equations, Princeton University Press, Princeton1982. Zbl0503.35001MR745286
  2. [Ag-Co] J. Aguilar- J.M. Combes: A class of analytic perturbations for one-body Schrôdinger operators, Comm. in Math. Phys.22 (1971) 269-279. Zbl0219.47011MR345551
  3. [Ba-Co] E. Balslev- J.M. Combes: Spectral properties of many body Schrôdinger operators with dilation analytic potentials, Comm. in P.D.E.22 (1971) 280-294. Zbl0219.47005MR345552
  4. [C-D-K-S] J.M. Combes- P. Duclos- M. Klein- R. Seiler: The shape resonance, Comm. in Math. Phys.110 (1987) 215-237. Zbl0629.47044MR887996
  5. [Cy] H.L. Cycon: Resonances defined by modified dilations, Helv. Phys. Acta58 (1986)969-981. MR821113
  6. [Gel] C. Gérard: Semiclassical resolvent estimates for two and three-body Schrödinger operators, Comm. in P.D.E.15(8) (1990), 1161-1178. Zbl0711.35095MR1070240
  7. [Gu-St] V. Guillemin- S. Sternberg: Geometric Asymptotics, A.M.S. Surveys Vol 14 (1977). Zbl0364.53011MR516965
  8. [He-Sj1] B. Helffer-J.Sjöstrand: Résonances en limite semiclassique, Bull. de la S.M.F. mémoire n°24/25, tome 114 (1986). Zbl0631.35075
  9. [Hi-Si] P. Hislop- I.M. Sigal: Shape resonances in quantum mechanics, Proceeding of the International Conference on Diff. Eq. in Math. Phys. Birmingham (Alabama) (1986). Zbl0653.46074MR921268
  10. [Hö] L. Hôrmander: The analysis of linear partial differential operators, vols.III and IVSpringer Verlag (1985). Zbl0601.35001
  11. [S] I.M. Sigal: Complex transformations method and resonances in one- body quantum systems, Ann. Inst. Henri Poincaré41 (1984), 103- 114. Zbl0568.47008MR760129
  12. [S-S] LM. Sigal- A. Soffer: Local Decay and propagation estimates for time dependent and time independent Hamiltonians, Preprint Princeton University1988 and to appear in Acta Mathematica. 
  13. [Si] B. Simon: Resonances and complex scaling: a rigourous overview, Int. J. Quant. Chem.14 (1978), 529-542. 

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