@article{ASNSP_1987_4_14_4_625_0, author = {Helffer, B. and Sj\"ostrand, J.}, title = {Effet tunnel pour l'\'equation de {Schr\"odinger} avec champ magn\'etique}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {625--657}, publisher = {Scuola normale superiore}, volume = {4e s{\'e}rie, 14}, number = {4}, year = {1987}, mrnumber = {963493}, zbl = {0699.35205}, language = {fr}, url = {http://archive.numdam.org/item/ASNSP_1987_4_14_4_625_0/} }
TY - JOUR AU - Helffer, B. AU - Sjöstrand, J. TI - Effet tunnel pour l'équation de Schrödinger avec champ magnétique JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1987 SP - 625 EP - 657 VL - 14 IS - 4 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1987_4_14_4_625_0/ LA - fr ID - ASNSP_1987_4_14_4_625_0 ER -
%0 Journal Article %A Helffer, B. %A Sjöstrand, J. %T Effet tunnel pour l'équation de Schrödinger avec champ magnétique %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1987 %P 625-657 %V 14 %N 4 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_1987_4_14_4_625_0/ %G fr %F ASNSP_1987_4_14_4_625_0
Helffer, B.; Sjöstrand, J. Effet tunnel pour l'équation de Schrödinger avec champ magnétique. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 14 (1987) no. 4, pp. 625-657. http://archive.numdam.org/item/ASNSP_1987_4_14_4_625_0/
[AH - BO] Significance of Electromagnetic Potentials in the Quantum Theory. The Physical Review vol. 115 (3), Aug. 1959. | MR | Zbl
- ,[A - H - S] Schrödinger Operators with Magnetic Fields.
- - ,[1] General Interactions. Duke Math. J. vol. 45 (4), Déc. 1978.
[2] Separation of Center of Mass in Homogeneous Magnetic Fields. Ann. Physics 114, pp. 431-451 (1978). | MR | Zbl
[3] Atoms in Homogeneous Magnetic Fields. Comm. Math. Phys. 79 pp. 529-572 (1981). | MR
[C - S - S] Classical Bounds and Limits for Energy Distributions of Hamilton Operators in Electromagnetic Fields. Ann. Physics 111, pp. 1-18 (1978). | MR
- - ,[HE] An introduction to Semi Classical Analysis for the Schrôdinger Operator. Cours en Chine. (A paraître Lecture Notes in Mathematics 1988).
,[HE - RO] Calcul Fonctionnel Admissible et Applications. J. Funct. Anal. 53 (3) (1983), pp. 246-268. | MR | Zbl
- ,[HE - SJ] Multiple Wells in the Semi-Classical Limit
- ,[1] Comm. in P.D.E., 9 (4) (1984), pp. 337-408. | MR
[2] Interaction Moléculaire, Symétries, perturbation: Ann. Inst. H. Poincaré, vol. 42 (2) (1985), pp. 127-212. | Numdam | MR
[HE - MA - RO] Ergodicité et Limite Semiclassique (Comm. Math. Phys.). | Zbl
- - ,[HO] The Analysis of Linear Partial Differential Equations. Tome 3, Chap. XXII - Springer.
,[HU] Schrôdinger Operators with Electric or Magnetic Fields. Proc. Int. Conf. in Math. Phys., Lausanne (1980). | MR | Zbl
,[IV] Note au C.R.A.S. 1986, 302 Sér I (13), pp. 467-471. | MR
-[KA] Israel J. Math. 13 (1972) pp. 125-174. | MR
: [1][2] Perturbation Theory for Linear Operators. Grundlehren der Mathematischen Wissenschaften 132. Springer Verlag. | Zbl
[ME - SJ] On the Eigenvalues of a class of hypoelliptic Operators. Math. Ann. 235, pp. 55-85 (1978). | MR | Zbl
-[MO]
[SI] Indiana Univ. Math. J. 26, pp. 1067-1073 (1977). | MR | Zbl
: [1][2] Semi-Classical Analysis of Low Lying Eingenvalues I. Ann. Inst. H. Poincaré t. 38 (1983), pp. 295-307.
[3] Semi-Classical Analysis of Low Lying Eingenvalues II. Tunneling. Ann. of Math. (1984) vol. 20, pp. 89-118. | Zbl
[SJ] Singularités analytiques microlocales - Astérisque 95 (1982). | Numdam | MR | Zbl
: [1][2] Analytic Wave front Sets and Operators with Multiple Characteristics Hokkaido Math. Journal Vol. XII (3), pp. 392-433. | Zbl
[WI] Narrowly avoided crossings Preprint April 1986.
,