The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Invariants symplectiques et semi-classiques des systèmes intégrables avec singularités
San Vũ Ngọc[1]
- [1] CNRS - Institut Fourier, UMR 5582. BP 74, F-38402 Saint Martin d’Hères
Séminaire Équations aux dérivées partielles
(2000-2001)
- Volume: 2000-2001, page 1-14
On définit les notions de feuilletages classiques et semi-classiques pour les systèmes complètement intégrables avec singularités. Les résultats de classification standard (telles les coordonnées actions-angles semi-classiques) sont rappelés. Le cas du feuilletage classique de type foyer-foyer est examiné en détail, où des nouveaux invariants semi-globaux apparaissent. Ces invariants sont identifiés dans les conditions de Bohr-Sommerfeld singulières qui donnent le spectre conjoint au voisinage d’une valeur singulières de l’application moment.
Vũ Ngọc, San. "Invariants symplectiques et semi-classiques des systèmes intégrables avec singularités." Séminaire Équations aux dérivées partielles 2000-2001 (2000-2001): 1-14. <http://eudml.org/doc/11008>.
@article{VũNgọc2000-2001,
abstract = {On définit les notions de feuilletages classiques et semi-classiques pour les systèmes complètement intégrables avec singularités. Les résultats de classification standard (telles les coordonnées actions-angles semi-classiques) sont rappelés. Le cas du feuilletage classique de type foyer-foyer est examiné en détail, où des nouveaux invariants semi-globaux apparaissent. Ces invariants sont identifiés dans les conditions de Bohr-Sommerfeld singulières qui donnent le spectre conjoint au voisinage d’une valeur singulières de l’application moment.},
affiliation = {CNRS - Institut Fourier, UMR 5582. BP 74, F-38402 Saint Martin d’Hères},
author = {Vũ Ngọc, San},
journal = {Séminaire Équations aux dérivées partielles},
keywords = {foliation; completely integrable systems; singularities; symplectic reduction},
language = {fre},
pages = {1-14},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Invariants symplectiques et semi-classiques des systèmes intégrables avec singularités},
url = {http://eudml.org/doc/11008},
volume = {2000-2001},
year = {2000-2001},
}
TY - JOUR
AU - Vũ Ngọc, San
TI - Invariants symplectiques et semi-classiques des systèmes intégrables avec singularités
JO - Séminaire Équations aux dérivées partielles
PY - 2000-2001
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 2000-2001
SP - 1
EP - 14
AB - On définit les notions de feuilletages classiques et semi-classiques pour les systèmes complètement intégrables avec singularités. Les résultats de classification standard (telles les coordonnées actions-angles semi-classiques) sont rappelés. Le cas du feuilletage classique de type foyer-foyer est examiné en détail, où des nouveaux invariants semi-globaux apparaissent. Ces invariants sont identifiés dans les conditions de Bohr-Sommerfeld singulières qui donnent le spectre conjoint au voisinage d’une valeur singulières de l’application moment.
LA - fre
KW - foliation; completely integrable systems; singularities; symplectic reduction
UR - http://eudml.org/doc/11008
ER -
- L. Boutet de Monvel and V. Guillemin. The spectral theory of Toeplitz operators. Number 99 in Annals of Mathematics Studies. Princeton university press, 1981. Zbl0469.47021MR620794
- L. Charles. Aspects semi-classiques de la quantification géométrique. PhD thesis, Université Paris IX - Dauphine, 2000.
-
Y. Colin de Verdière. Spectre conjoint d’opérateurs pseudo-différentiels qui commutent II. Math. Z., 171 :51–73, 1980. Zbl0478.35073
- Y. Colin de Verdière and B. Parisse. Équilibre instable en régime semi-classique I : Concentration microlocale. Comm. Partial Differential Equations, 19(9–10) :1535–1563, 1994. Zbl0819.35116MR1294470
- Y. Colin de Verdière and S. Vũ Ngọc. Singular Bohr-Sommerfeld rules for 2D integrable systems. Preprint Institut Fourier, 2000. Zbl1028.81026MR1987976
- J.-P. Dufour, P. Molino, and A. Toulet. Classification des systèmes intégrables en dimension 2 et invariants des modèles de Fomenko. C. R. Acad. Sci. Paris Sér. I Math., 318 :949–952, 1994. Zbl0808.58025MR1278158
- J.J. Duistermaat. On global action-angle variables. Comm. Pure Appl. Math., 33 :687–706, 1980. Zbl0439.58014MR596430
- L.H. Eliasson. Hamiltonian systems with Poisson commuting integrals. PhD thesis, University of Stockholm, 1984.
- L. Hörmander. The analysis of Linear partial differential operators, volume I–IV. Springer, 1983–90.
-
Z. Nguyên Tiên. Symplectic topology of integrable hamiltonian systems, I : Arnold-Liouville with singularities. Compositio Math., 101 :179–215, 1996. Zbl0936.37042MR1389366
- Z. Nguyên Tiên. Symplectic topology of integrable hamiltonian systems, II : characteristic classes. Preprint Univ. Montpellier, 2000.
- D. Robert. Autour de l’approximation semi-classique, volume 68 of Progress in Mathematics. Birkhäuser, 1987. Zbl0621.35001
- S. Vũ Ngọc. Bohr-Sommerfeld conditions for integrable systems with critical manifolds of focus-focus type. Comm. Pure Appl. Math., 53(2) :143–217, 2000. Zbl1027.81012MR1721373
- S. Vũ Ngọc. Formes normales semi-classiques des systèmes complètement intégrables au voisinage d’un point critique de l’application moment. Asymptotic Analysis, 24(3,4) :319–342, 2000. Zbl0990.58018
- S. Vũ Ngọc. On semi-global invariants for focus-focus singularities. Preprint Institut Fourier, 2001. Zbl1012.37041MR1941440
Citations in EuDML Documents
top
You must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.