Effet tunnel pour l'équation de Schrödinger avec champ magnétique
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 14 (1987) no. 4, pp. 625-657. 
@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, Série 4, Tome 14 (1987) no. 4, pp. 625-657. http://archive.numdam.org/item/ASNSP_1987_4_14_4_625_0/

[AH - BO] Y. Aharonov - D. Bohm, Significance of Electromagnetic Potentials in the Quantum Theory. The Physical Review vol. 115 (3), Aug. 1959. | MR | Zbl

[A - H - S] J. Avron - I. Herbst - B. Simon, 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] J-M. Combes - R. Schrader - R. Seiler, Classical Bounds and Limits for Energy Distributions of Hamilton Operators in Electromagnetic Fields. Ann. Physics 111, pp. 1-18 (1978). | MR

[HE] B. Helffer, An introduction to Semi Classical Analysis for the Schrôdinger Operator. Cours en Chine. (A paraître Lecture Notes in Mathematics 1988).

[HE - RO] B. Helffer - D. Robert, Calcul Fonctionnel Admissible et Applications. J. Funct. Anal. 53 (3) (1983), pp. 246-268. | MR | Zbl

[HE - SJ] B. Helffer - J. Sjöstrand, 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] B. Helffer - A. Martinez - D. Robert, Ergodicité et Limite Semiclassique (Comm. Math. Phys.). | Zbl

[HO] L. Hörmander, The Analysis of Linear Partial Differential Equations. Tome 3, Chap. XXII - Springer.

[HU] W. Hunziker, Schrôdinger Operators with Electric or Magnetic Fields. Proc. Int. Conf. in Math. Phys., Lausanne (1980). | MR | Zbl

[IV] I.V. Ivrii - Note au C.R.A.S. 1986, 302 Sér I (13), pp. 467-471. | MR

[KA] T. Kato: [1] Israel J. Math. 13 (1972) pp. 125-174. | MR

[2] Perturbation Theory for Linear Operators. Grundlehren der Mathematischen Wissenschaften 132. Springer Verlag. | Zbl

[ME - SJ] A. Menikoff - J. Sjöstrand. On the Eigenvalues of a class of hypoelliptic Operators. Math. Ann. 235, pp. 55-85 (1978). | MR | Zbl

[MO] A. Mohamed.

[SI] B. Simon: [1] Indiana Univ. Math. J. 26, pp. 1067-1073 (1977). | MR | Zbl

[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] J. Sjöstrand: [1] Singularités analytiques microlocales - Astérisque 95 (1982). | Numdam | MR | Zbl

[2] Analytic Wave front Sets and Operators with Multiple Characteristics Hokkaido Math. Journal Vol. XII (3), pp. 392-433. | Zbl

[WI] M. Wilkinson, Narrowly avoided crossings Preprint April 1986.