Comportement semi-classique du spectre des Hamiltoniens quantiques elliptiques

Bernard Helffer; Didier Robert

Journées équations aux dérivées partielles (1980)

  • page 1-5
  • ISSN: 0752-0360

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Helffer, Bernard, and Robert, Didier. "Comportement semi-classique du spectre des Hamiltoniens quantiques elliptiques." Journées équations aux dérivées partielles (1980): 1-5. <http://eudml.org/doc/93041>.

@article{Helffer1980,
author = {Helffer, Bernard, Robert, Didier},
journal = {Journées équations aux dérivées partielles},
keywords = {asymptotic distribution of eigenvalues; pseudo-differential operators of order 2},
language = {fre},
pages = {1-5},
publisher = {Ecole polytechnique},
title = {Comportement semi-classique du spectre des Hamiltoniens quantiques elliptiques},
url = {http://eudml.org/doc/93041},
year = {1980},
}

TY - JOUR
AU - Helffer, Bernard
AU - Robert, Didier
TI - Comportement semi-classique du spectre des Hamiltoniens quantiques elliptiques
JO - Journées équations aux dérivées partielles
PY - 1980
PB - Ecole polytechnique
SP - 1
EP - 5
LA - fre
KW - asymptotic distribution of eigenvalues; pseudo-differential operators of order 2
UR - http://eudml.org/doc/93041
ER -

References

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  1. [1] K. Asada and D. Fujiwara : On some oscillatory integral transformations in L2 (ℝn). Japan J. Math. 4 (1978) p.299-361. Zbl0402.44008MR80d:47076
  2. [2] J. Chazarain : Spectre d'un hamiltonien quantique et mécanique classique (preprint, article à paraître à Comm. in P. D. E.). Zbl0437.70014
  3. [3] Y. Colin de Verdière : Spectres joints d'opérateurs pseudo-différentiels I. le cas non intégrable. A paraître in Duke Math. J. Zbl0411.35073
  4. [4] V. Guillemin and S. Sternberg : Some problems in integral geometry and some related problems in microlocal analysis. Amer. J. Math. (1979) vol.101, n° 4, p.915-955. Zbl0446.58019MR82b:58087
  5. [5] L. Hörmander : On the asymptotic distribution of the eigenvalues of pseudodifferential operators in ℝn. Arkiv. för Math. vol. 17, n°2 (Dec. 1979) p. 296-313. Zbl0436.35064
  6. [6] D. Robert : Propriétés spectrales d'opérateurs pseudo-différentiels. Comm. in P. D. E. " (1978), p. 755-828. Zbl0392.35056MR80b:35112
  7. [7] V. N. Tuloskii and M. A. Subin : On the asymptotic distribution of eigen values of pseudo differential operators in ℝn. Math. USSR Sbornik 21 (1973) p. 565-583. Zbl0295.35068

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