The quantum stability problem for time-periodic perturbations of the harmonic oscillator
Annales de l'I.H.P. Physique théorique, Tome 47 (1987) no. 1, pp. 63-83.
@article{AIHPA_1987__47_1_63_0,
     author = {Combescure, M.},
     title = {The quantum stability problem for time-periodic perturbations of the harmonic oscillator},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {63--83},
     publisher = {Gauthier-Villars},
     volume = {47},
     number = {1},
     year = {1987},
     mrnumber = {912757},
     zbl = {0628.70017},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1987__47_1_63_0/}
}
TY  - JOUR
AU  - Combescure, M.
TI  - The quantum stability problem for time-periodic perturbations of the harmonic oscillator
JO  - Annales de l'I.H.P. Physique théorique
PY  - 1987
SP  - 63
EP  - 83
VL  - 47
IS  - 1
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPA_1987__47_1_63_0/
LA  - en
ID  - AIHPA_1987__47_1_63_0
ER  - 
%0 Journal Article
%A Combescure, M.
%T The quantum stability problem for time-periodic perturbations of the harmonic oscillator
%J Annales de l'I.H.P. Physique théorique
%D 1987
%P 63-83
%V 47
%N 1
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPA_1987__47_1_63_0/
%G en
%F AIHPA_1987__47_1_63_0
Combescure, M. The quantum stability problem for time-periodic perturbations of the harmonic oscillator. Annales de l'I.H.P. Physique théorique, Tome 47 (1987) no. 1, pp. 63-83. http://www.numdam.org/item/AIHPA_1987__47_1_63_0/

[1] E. Abrahams, P.W. Anderson, D.C. Licciardello and T.V. Ramakrishnan, Phys. Rev. Letters, t. 42, 1979, p. 673-676.

[2] W. Amrein, V. Georgescu, Helv. Phys. Acta, t. 47, 1974, p. 517-533. | MR

[3] V. Arnol'D, Russian Math. Surveys, t. 18, n° 5, 1963, p. 9-36. | Zbl

[4] J. Avron, B. Simon, Bull. A. M. S., t. 6, 1982, p. 81-86. | MR | Zbl

[5] J. Bellissard, Trends and Developments in the Eighties, S. Albeverio and Ph. Blanchard, eds. World Sci. Pub., Singapour, 1985. | MR

[6] J. Bellissard, R. Lima, E. Scoppola, Commun. Math. Phys., t. 88, 1983, p. 465-477. | MR | Zbl

[7] J. Bellissard, R. Lima, D. Testard, Commun. Math. Phys., t. 88, 1983, p. 207-234. | MR | Zbl

[8] G. Casati, I. Guarneri, Commun. Math. Phys., t. 95, 1984, p. 121-127. | MR | Zbl

[9] M. Combescure, Ann. Inst. Henri Poincaré, t. 44, 1986, p. 293-314. | Numdam | MR | Zbl

[10] M. Combescure, Ann. of Physics, t. 173, 1987, p. 210-225. | MR

[11] M. Combescure (in preparation).

[12] W. Craig, Commun. Math. Phys., t. 88, 1983, p. 113-131. | MR | Zbl

[13] A. Ya. GORDON, Usp. Mat. Nauk, t. 31, 1976, p. 257. | Zbl

[14] M. Hermann, Publ. IHES, t. 49. | Numdam

[15] J.S. Howland, Caltech, 1986.

[16] A.N. Kolmogorov, Dokl. Akad. Nauk SSSR, t. 98, 1954, p. 527-530. | MR | Zbl

[17] J. Moser, Nachr. Akad. Wiss. Gott. Math. Phys. K, t. 1, 1962, p. 1-20. | MR | Zbl

[18] J. Moser, Stable and Random Motions in Dynamical Systems. Princeton University Press, 1973. | MR | Zbl

[19] J. Nash, Ann. of Math., t. 63, 1956, p. 20-63. | MR | Zbl

[20] W. Neuhauser, M. Hohenstatt, P. Toschek, H. Dehmelt, Phys. Rev. A, t. 122, 1980, p. 1137-1140.

[21] J. Pöschel, Commun. Math. Phys., t. 88, 1983, p. 447-464. | MR | Zbl

[22] J. Pöschel, Commun. Pure and Applied Math., t. 35, 1982, p. 653-696. | Zbl

[23] D. Ruelle, Nuovo Cimento A, t. 61, 1969, p. 655-662. | MR

[24] P. Sarnak, Commun. Math. Phys., t. 84, 1982, p. 377-401. | MR | Zbl

[25] L.E. Thomas, C.E. Wayne, J. Math. Phys., t. 27, 1986, p. 71-75. | MR | Zbl

[26] K. Yajima, J. Math. Soc. Japan, t. 29, 1977, p. 729-743. | MR | Zbl

[27] E. Zehnder, Commun. Pure Appl. Math., t. 28, 1975, p. 91-148. | MR | Zbl

[28] E. Zehnder, Commun. Pure Appl. Math., t. 29, 1976, p. 49-111. | MR | Zbl