Puits multiples (d'après des travaux avec B. Helffer)

J. Sjöstrand

Séminaire Équations aux dérivées partielles (Polytechnique) (1983-1984)

  • page 1-16

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Sjöstrand, J.. "Puits multiples (d'après des travaux avec B. Helffer)." Séminaire Équations aux dérivées partielles (Polytechnique) (1983-1984): 1-16. <http://eudml.org/doc/111859>.

@article{Sjöstrand1983-1984,
author = {Sjöstrand, J.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {perturbation of the potential; spectral theory; Schrödinger operators; nearly zero eigenvalue; compact Riemannian manifold; interaction matrix; resolvent kernel},
language = {fre},
pages = {1-16},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Puits multiples (d'après des travaux avec B. Helffer)},
url = {http://eudml.org/doc/111859},
year = {1983-1984},
}

TY - JOUR
AU - Sjöstrand, J.
TI - Puits multiples (d'après des travaux avec B. Helffer)
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1983-1984
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 16
LA - fre
KW - perturbation of the potential; spectral theory; Schrödinger operators; nearly zero eigenvalue; compact Riemannian manifold; interaction matrix; resolvent kernel
UR - http://eudml.org/doc/111859
ER -

References

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  1. [1] S. Agmon: Lectures on exponential decay of solutions to second order elliptic equations, Math. Notes, Princeton University Press n° 29 (1982). Zbl0503.35001MR745286
  2. [2] E.M. Harrell: Double Wells, Comm. Math. Phys.75(1980), 239-261. Zbl0445.35036MR581948
  3. [3] B. Helffer, J. Sjöstrand: Multiple wells in the semi-classical limit I, preprint. Zbl0546.35053
  4. [4] B. Helffer, J. Sjöstrand: Puits multiples en limite semi-classique II, manuscrit. 
  5. [5] B. Helffer, J. Sjöstrand, Multiple wells in the semi-classical limit III, manuscrit. Zbl0597.35023
  6. [6] G. Jona-Lasinio, F. Martinelli, E. Scoppola: New approach to the semi-classical limit of quantum mechanics, I. Tunnelings in one dimension, Comm. Math. Phys.80(1981), 223-254. Zbl0483.60094MR623159
  7. [7] F. Pham: Calcul microdifferentiel complexe et méthode semi-classique. Prépublic. de Math. de l'Univ. de Nice n° 14 (1983). 
  8. [8] J-P. Serre: Représentations linéaires de groupes finis, Hermann, Paris (1967). Zbl0223.20003MR232867
  9. [9] B. Simon: Semi-classical analysis of low lying eigenvalues I. Non-degenerate minima: Asymptotic expansions. Ann. Inst. Henri Poincaré, 38 n°3 (1983), 295-307. (et correction à paraître). Zbl0537.35023MR708966
  10. [10] B. Simon: Semi-classical analysis of low lying eigenvalues II. Tunneling. Preprint. Voir aussi: Instantons, double wells and large dérivations, Bull. A.M.S. Vol. 8, n°9, March 1983, 323-326. Zbl0529.35059

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