Comportement semi-classique des systèmes ergodiques

A.-M. Charbonnel

Annales de l'I.H.P. Physique théorique (1992)

  • Volume: 56, Issue: 2, page 187-214
  • ISSN: 0246-0211

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Charbonnel, A.-M.. "Comportement semi-classique des systèmes ergodiques." Annales de l'I.H.P. Physique théorique 56.2 (1992): 187-214. <http://eudml.org/doc/76565>.

@article{Charbonnel1992,
author = {Charbonnel, A.-M.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {commuting operators; concentration result for the eigenvectors},
language = {fre},
number = {2},
pages = {187-214},
publisher = {Gauthier-Villars},
title = {Comportement semi-classique des systèmes ergodiques},
url = {http://eudml.org/doc/76565},
volume = {56},
year = {1992},
}

TY - JOUR
AU - Charbonnel, A.-M.
TI - Comportement semi-classique des systèmes ergodiques
JO - Annales de l'I.H.P. Physique théorique
PY - 1992
PB - Gauthier-Villars
VL - 56
IS - 2
SP - 187
EP - 214
LA - fre
KW - commuting operators; concentration result for the eigenvectors
UR - http://eudml.org/doc/76565
ER -

References

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  3. [As-Fu] F. Asada et D. Fujiwara, On Some Oscillatory Integral Transformation in L2(Rn), Jap. J. Math., vol. 4, 1978, p. 299-361. Zbl0402.44008MR528863
  4. [Be] R. Beals, A General Calculus of Pseudodifferential Operators, Duke Math. J., vol. 42, 1975, p. 1-42. Zbl0343.35078MR367730
  5. [Cha] A.M. Charbonnel, Comportement semi-classique du spectre conjoint d'opérateurs pseudodifférentiels qui commutent, Asymptotic Analysis, vol. 1, 1988, p. 227-261. Zbl0665.35080MR962310
  6. [C.V.] Y. Colin De Verdière, Ergodicité et fonctions propres du laplacien, Séminaire Bony-Sjöstrand-Meyer, 1984-1985, n° XIII, Comm. Math. Phys., vol. 102, 1985, p. 497-502. Zbl0592.58050MR818831
  7. [Du] J.-J. Duistermaat, Oscillatory Integrals, Lagrange Immersions and Unfolding of Singularities, Commun. Pure Appl., Math., vol. 27, 1974, p. 207-281. Zbl0285.35010MR405513
  8. [Fe-Ma] M.V. Fedoriuk et V.P. Maslov, Semi-classical Approximation in Quantum Mechanics, Reidel, Dordrecht, 1981. 
  9. [He-Ma-Ro] B. Helffer, A. Martinez et D. Robert, Ergodicité et limite semi-classique, Comm. Math. Phys., vol. 109, 1987, p. 313-326. Zbl0624.58039MR880418
  10. [He-Ro] [1] B. Helffer et D. Robert, Calcul fonctionnel par la transformée de Mellin et opérateurs admissibles, J. Funct. Anal., Vol. 53, 1983, p. 246-268. Zbl0524.35103MR724029
  11. [He-Ro] [2] B. Helffer et D. Robert, Riesz Means of Bound States and Semi-classical limit connected with a Lieb-Thirring's conjecture, Asymptotic Anal., vol. 3, 1990. Zbl0717.35062
  12. [Ho] L. Hormander, The Weyl Calculus of Pseudodifferential Operators, C.P.A.M., 1979, vol. 32, p. 359-443. Zbl0388.47032MR517939
  13. [Kn] A. Knauf, Ergodic and Topological Properties of Coulombic Periodic Potentials, Comm. Math. Phys., Vol. 110, 1987, p. 89-112. Zbl0616.58044MR885572
  14. [Pe-Ro] V. Petkov et D. Robert, Asymptotique semi-classique du spectre d'hamiltoniens quantiques et trajectoires classiques périodiques, Comm. Partial Differ. Equations, vol. 10, 1985, p. 365-390. Zbl0574.35067MR784682
  15. [Ro] D. Robert, Autour de l'approximation semi-classique, Birkhauser, Boston, 1987. MR897108
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