@article{AIHPA_1994__61_3_347_0, author = {Colin de Verdi\`ere, Yves and Parisse, Bernard}, title = {\'Equilibre instable en r\'egime semi-classique. {II.} {Conditions} de {Bohr-Sommerfeld}}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {347--367}, publisher = {Gauthier-Villars}, volume = {61}, number = {3}, year = {1994}, zbl = {0845.35076}, mrnumber = {1311072}, language = {fr}, url = {http://archive.numdam.org/item/AIHPA_1994__61_3_347_0/} }
TY - JOUR AU - Colin de Verdière, Yves AU - Parisse, Bernard TI - Équilibre instable en régime semi-classique. II. Conditions de Bohr-Sommerfeld JO - Annales de l'I.H.P. Physique théorique PY - 1994 DA - 1994/// SP - 347 EP - 367 VL - 61 IS - 3 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1994__61_3_347_0/ UR - https://zbmath.org/?q=an%3A0845.35076 UR - https://www.ams.org/mathscinet-getitem?mr=1311072 LA - fr ID - AIHPA_1994__61_3_347_0 ER -
Colin de Verdière, Yves; Parisse, Bernard. Équilibre instable en régime semi-classique. II. Conditions de Bohr-Sommerfeld. Annales de l'I.H.P. Physique théorique, Tome 61 (1994) no. 3, pp. 347-367. http://archive.numdam.org/item/AIHPA_1994__61_3_347_0/
[1] Spectral estimates around a critical level, Manuscrit, Reims, 1993.
, et ,[2] Équilibre instable en régime semi-classique, I. Concentration microlocale, Prépublication de l'Institut Fourier (à paraître dans Comm. PDE), vol. 252, 1993. | MR 1294470
et ,[3] On the semi-classical approximation for double well potentials, Chemical Physics Letters, vol. 4, 1969, p. 419-420.
,[4] Classification des systèmes intégrables en dimension 2 et invariants des modèles de Fomenko, preprint Université de Montpellier, 1994. | MR 1278158
, et ,[5] Quantum Effects near a Barrier Maximum, Annals of Physics, vol. 7, 1959, p. 239-258. | MR 104479 | Zbl 0086.22406
, , et ,[6] The energy levels of double-well potentials, Arkiv för Fysik, vol. 32, 1966, p. 79-97.
,[7] Precise estimates of tunneling and eigenvalues near a potential barrier, Journal of Differential Equations, vol. 72, 1988, p. 149-177. | MR 929202 | Zbl 0668.34022
et ,[8] Semi-classical analysis for Harper's equation-III. Cantor structure of the spectrum, Bulletin de la Société Mathématique de France, vol. 117, 1989. | Numdam | Zbl 0725.34099
et ,[9] Spectral Asymptotics for Hill's Equation near the potential maximum, Asymptotic Analysis, vol. 5, 1992, p. 221-267. | MR 1145112 | Zbl 0786.34080
,[10] Density of state oscillations for magnetic Schrödinger operator, In Bennewitz, ed., Differential Equations and Mathematical Physics, p. 295-345, University of Alabama, Birmingham, 1990. | MR 1126702 | Zbl 0778.35089
,