About the adiabatic stability of resonant states
Annales de l'I.H.P. Physique théorique, Tome 39 (1983) no. 2, pp. 119-143. 
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     number = {2},
     year = {1983},
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     url = {http://archive.numdam.org/item/AIHPA_1983__39_2_119_0/}
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Lochak, Pierre. About the adiabatic stability of resonant states. Annales de l'I.H.P. Physique théorique, Tome 39 (1983) no. 2, pp. 119-143. http://archive.numdam.org/item/AIHPA_1983__39_2_119_0/

[1] G. Lochak, in Dynamical systems and microphysics, Courses and Lectures of the International Center for Mechanical Sciences, n° 261, Springer Ed. (Vienna).

G. Lochak and A. Alaoui, in Annales de la Fondation Louis de Broglie, t. 2, 2, Paris, 1977.

[2] See above and also: G. Lochak, C. R. A. S., « Comptes Rendus » of the French Academy of Sciences. Série B, t. 275, 1972, p. 49. | Zbl

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[4] J. Aguilar and J.M. Combes, A class of analytic perturbations, Comm. in Math. Phys., t. 22, 1971, p. 269-279. | MR | Zbl

E. Balslev and J.M. Combes, Spectral properties of many-body Schrödinger operators with dilation analytic interactions. Comm. Math. Phys., t. 22, 1971, p. 280-294. | MR | Zbl

[6] D. Babitt and E. Balslev, Journal of Functional Analysis, t. 18, 1975, p. 1. | Zbl

[7] B. Simon, Time dependent perturbation theory, Annals of Maths, t. 97, 1973, p. 247. | MR | Zbl

[8] T. Kato, Journal of the Phys. Soc. of Japan, 1950, p. 435.