Résonances par correspondance

A. Grigis

Séminaire Équations aux dérivées partielles (Polytechnique) (1994-1995)

  • page 1-9

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Grigis, A.. "Résonances par correspondance." Séminaire Équations aux dérivées partielles (Polytechnique) (1994-1995): 1-9. <http://eudml.org/doc/112112>.

@article{Grigis1994-1995,
author = {Grigis, A.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {semiclassical Schrödinger operators; rate of exponential Decay; broken instanton},
language = {fre},
pages = {1-9},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Résonances par correspondance},
url = {http://eudml.org/doc/112112},
year = {1994-1995},
}

TY - JOUR
AU - Grigis, A.
TI - Résonances par correspondance
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1994-1995
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 9
LA - fre
KW - semiclassical Schrödinger operators; rate of exponential Decay; broken instanton
UR - http://eudml.org/doc/112112
ER -

References

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  1. [A-D] Asch J., Duclos P.: An elementary model of dynamical tunneling; in Differential Equations with Applications to Mathematical Physics (F. Ames, J.V. Herod, E. Harrel eds.), 1993, 1-11, Academic Press. Zbl0789.35127MR1207143
  2. [B] Baklouti, H.: Asymptotique des largeurs de résonances pour un modèle d'effet tunnel microlocal; Thèse Université Paris-Nord, (1995). 
  3. [G-G] Gérard C., Grigis A.: Precise estimates of tunneling and eigenvalues near a potential barrier; Journal of Differential Equations72, (1988), 149-177. Zbl0668.34022MR929202
  4. [H-S1] Helffer B., Söstrand J.: Multiple wells in the semi-classical limit I, Comm. in P.D.E.9 (1984) 337-408. Zbl0546.35053MR740094
  5. [H-S2] Helffer B., Sjöstrand J.: Semiclassical Analysis for Harper's Equation III, Bulletin de la SMF Mémoire n° 39, (1989), 1-124. Zbl0725.34099MR1041490
  6. [H-S3] Helffer B., Sjöstrand J.: Résonances en limite semi-classique, Bulletin de la SMF, Mémoire 24-25 (1986), 1-228. Zbl0631.35075MR871788
  7. [K-R] Kaïdi N., Rouleux M.: Forme normale d'un Hamiltonien à deux niveaux près d'un point de branchement en limite semi-classique, CRAS143, 317 (série 1) 359-364. Zbl0797.58083MR1235449
  8. [M1] Martinez A.: Estimates on complex interactions in phase space, Mathematische Nachrichten167 (1994) 203-254. Zbl0836.35135MR1285313
  9. [M2] Martinez A.: Precise exponential estimates in adiabatic theory, J. Math. Phys.35 (8) (1994) 3889-3915. Zbl0808.47053MR1284618
  10. [M3] Martinez A.: Résonances dans l'approximation de Born-Oppenheimer I ; J. of Diff. Eq.91 (1991) 204-234, - II, Comm. Math. Phys.135, (1991) 517-530. Zbl0737.35046MR1091576
  11. [Mä] März C.: Spectral Asymptotics near the Potential Maximum for Hill's Equation, Asymptotic Analysis5 (1992) 221-267. Zbl0786.34080MR1145112
  12. [M-M] Martinez A., Messirdi B., Resonances of diatomic molecules in the Born-Oppenheimer approximation, Comm in PDE19 (7 et 8) (1994) 1139-1162. Zbl0826.35148MR1284804
  13. [N1] Nakamura S.: Tunneling estimates in momentum space and scattering, Spectral and Scattering theory (ed Ikawa M.) Marcel Decker, New-York (1994). Zbl0827.35097
  14. [N2] Nakamura S.: On Martinez's method of phase space tunneling, preprint 1994Université de Tokyo, à paraître dans Reviews in Math. Phys. Zbl0842.35145MR1326141
  15. [N3] Nakamura S.: On an example of phase-space tunneling, preprint 1994Université de Tokyo. Zbl0833.34088MR1357496
  16. [R] Ramond T.: Intervalles d'instabilité pour une équation de Hill à potentiel méromorphe, Bulletin de la SMF121 (1993) 403-444. Zbl0790.34051MR1242638
  17. [S] Simon B.: Semiclassical analysis of low-lying eigenvalues, II Tunneling, Ann. of Math.120 (1984) 89-118. Zbl0626.35070MR750717

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