@article{SEDP_1993-1994____A6_0, author = {Colin de Verdi\`ere, Y. and Parisse, B.}, title = {\'Equilibre instable en r\'egime semi-classique}, journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"}, note = {talk:6}, pages = {1--9}, publisher = {Ecole Polytechnique, Centre de Math\'ematiques}, year = {1993-1994}, language = {fr}, url = {http://archive.numdam.org/item/SEDP_1993-1994____A6_0/} }
TY - JOUR AU - Colin de Verdière, Y. AU - Parisse, B. TI - Équilibre instable en régime semi-classique JO - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" N1 - talk:6 PY - 1993-1994 SP - 1 EP - 9 PB - Ecole Polytechnique, Centre de Mathématiques UR - http://archive.numdam.org/item/SEDP_1993-1994____A6_0/ LA - fr ID - SEDP_1993-1994____A6_0 ER -
%0 Journal Article %A Colin de Verdière, Y. %A Parisse, B. %T Équilibre instable en régime semi-classique %J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" %Z talk:6 %D 1993-1994 %P 1-9 %I Ecole Polytechnique, Centre de Mathématiques %U http://archive.numdam.org/item/SEDP_1993-1994____A6_0/ %G fr %F SEDP_1993-1994____A6_0
Colin de Verdière, Y.; Parisse, B. Équilibre instable en régime semi-classique. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1993-1994), Talk no. 6, 9 p. http://archive.numdam.org/item/SEDP_1993-1994____A6_0/
[1] Spectral estimates around a critical level. Manuscrit, Reims, 1993.
, , and[2] Separatrix eigenfunction. Physical Review A, 45(12):8501-8512, 15 June 1992.
and[3] Équilibre instable en régime semi-classique - I. Concentration microlocale. Prépublication de d'Institut Fourier, 252, 1993. | MR | Zbl
and[4] Équilibre instable en régime semi-classique - II. Conditions de Bohr-Sommerfeld. En préparation, 1994. | Numdam | MR | Zbl
and[5] Le lemme de Morse isochore. Topology, 18:283-299, 1979. | MR | Zbl
and[6] On the semi-classical localization of quantum probability. J. Math. Phys., 34(5):1681-1691, 1993. | MR | Zbl
and[7] Oscillatory integrals, lagrange immersions and unfolding of singularities. C.P.A.M., 27:207-281, 1974. | MR | Zbl
[8] Quantum Effects near a Barrier Maximum. Annals of Physics, 7:239-258, 1959. | MR | Zbl
, , , and[9] Precise estimates of tunneling and eigenvalues near a potential barrier. Journal of Differential Equations, 72:149-177, 1988. | MR | Zbl
and[10] Microlocal defect measures. Comm. PDE, 16(11):1761-1794, 1991. | MR | Zbl
[11] Ergodicité et limite semi-classique. Communications in Mathematical Physics, 109:313-326,1987. | MR | Zbl
, , and[12] Multiple wells in the semi-classical limit-I. Communication in Partial Differential Equation, 9(4):337-408, 1984. | MR | Zbl
and[13] Semi-classical analysis for Harper's equation- III. Cantor structure of the spectrum. Bulletin de la Société Mathématique de France, 117(4), 1989. | Numdam | MR | Zbl
and[14] Semiclassical approximations for tunneling near the top of a potential barrier and its applications to solid state physics. PhD thesis, UCLA, 1989.
[15] Spectral Asymptotics for Hill's Equation near the potential maximum. Asymptotic Analysis, 5:221-267, 1992. | MR | Zbl
[16] Density of state oscillations for magnetic Schrödinger operator. In Bennewitz, editor, Differential Equations and Mathematical Physics, pages 295-345, University of Alabama at Birmingham, March 15-21 1990. | MR | Zbl
[17] H-measures, a new approach for studying homogenization oscillations and concentration effects in partial differential equations. Proc. Roy. Soc. Edinburgh, 115A:193-230, 1990. | MR | Zbl