A quantum particle in a quadrupole radio-frequency trap
Annales de l'I.H.P. Physique théorique, Volume 44 (1986) no. 3, p. 293-314
@article{AIHPA_1986__44_3_293_0,
     author = {Combescure, Monique},
     title = {A quantum particle in a quadrupole radio-frequency trap},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     publisher = {Gauthier-Villars},
     volume = {44},
     number = {3},
     year = {1986},
     pages = {293-314},
     zbl = {0613.46064},
     mrnumber = {846470},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1986__44_3_293_0}
}
Combescure, M. A quantum particle in a quadrupole radio-frequency trap. Annales de l'I.H.P. Physique théorique, Volume 44 (1986) no. 3, pp. 293-314. http://www.numdam.org/item/AIHPA_1986__44_3_293_0/

[1] A.I. Baz, Y.B. Zeldovitch, A.M. Perelomov, Scattering and break-up reactions in non-relativistic quantum mechanics (in russian) Moscow, Nauka, 1971.

[2] J. Bellissard, Stability and instability in quantum mechanics, Marseille-Luminy preprint, 1984. | MR 853743

[3] J. Bellissard, private communication.

[4] M.N. Benilan, C. Audoin, Int. J. Mass Spectrom. Ion. Phys., t. 11, 1973, p. 421-432.

[5] R.J. Cook, D.G. Shamkland, A.L. Wells, Phys. Rev. A, t. 31, 1985, p. 564- 567.

[6] G. Hagedorn, Commun. Math. Phys., t. 71, 1980, p. 77-93. | MR 556903

[7] G. Hagedorn, Semiclassical quantum mechanics IV : large order asymptotics and more general states in more than one dimension, to appear in Ann. Inst. Henri Poincaré, t. 42, 1985, p. 363-374. | Numdam | MR 801234 | Zbl 0900.81053

[8] K. Hepp, Commun. Math. Phys., t. 35, 1974, p. 265-277. | MR 332046

[9] J.S. Howland, Two problems with time-dependent Hamiltonians, in Mathematical methods and applications of scattering theory, ed. by J. A. De Santo et. al. Lecture Notes in Physics, t. 130, 1980, Springer, Berlin-Heidelberg-New-York.

[10] T. Kato, J. Math. Soc. Japan, t. 25, 1973, p. 648-666. | MR 326483 | Zbl 0262.34048

[11] N.W. Mclachlan, Theory and application of Mathieu functions, Oxford University Press, New York, 1947. | MR 21158 | Zbl 0029.02901

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

[13] W. Paul, M. Raether, Zeitschrift für Physik, t. 140, 1955, p. 262-273.

[14] M. Reed, B. Simon, Methods of Modern Mathematical Physics, Vol. II, Academic Press, 1975, London, New York. | Zbl 0308.47002

[15] R.F. Wuerker, H. Shelton, R.V. Langmuir, J. of Appl. Phys., t. 30, 1959, p. 342-349.

[16] K. Yajima, J. Math. Soc. Japan, t. 29, 1977, p. 729-743. | MR 470525 | Zbl 0356.47010