Resonances and convergence of perturbation theory for N-body atomic systems in external AC-electric field
Annales de l'I.H.P. Physique théorique, Volume 42 (1985) no. 3, pp. 215-234.
@article{AIHPA_1985__42_3_215_0,
     author = {Graffi, S. and Grecchi, V. and Silverstone, H. J.},
     title = {Resonances and convergence of perturbation theory for {N-body} atomic systems in external {AC-electric} field},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {215--234},
     publisher = {Gauthier-Villars},
     volume = {42},
     number = {3},
     year = {1985},
     mrnumber = {797273},
     zbl = {0594.46065},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1985__42_3_215_0/}
}
TY  - JOUR
AU  - Graffi, S.
AU  - Grecchi, V.
AU  - Silverstone, H. J.
TI  - Resonances and convergence of perturbation theory for N-body atomic systems in external AC-electric field
JO  - Annales de l'I.H.P. Physique théorique
PY  - 1985
SP  - 215
EP  - 234
VL  - 42
IS  - 3
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPA_1985__42_3_215_0/
LA  - en
ID  - AIHPA_1985__42_3_215_0
ER  - 
%0 Journal Article
%A Graffi, S.
%A Grecchi, V.
%A Silverstone, H. J.
%T Resonances and convergence of perturbation theory for N-body atomic systems in external AC-electric field
%J Annales de l'I.H.P. Physique théorique
%D 1985
%P 215-234
%V 42
%N 3
%I Gauthier-Villars
%U http://archive.numdam.org/item/AIHPA_1985__42_3_215_0/
%G en
%F AIHPA_1985__42_3_215_0
Graffi, S.; Grecchi, V.; Silverstone, H. J. Resonances and convergence of perturbation theory for N-body atomic systems in external AC-electric field. Annales de l'I.H.P. Physique théorique, Volume 42 (1985) no. 3, pp. 215-234. http://archive.numdam.org/item/AIHPA_1985__42_3_215_0/

[1] E. Arnous, J. Bastian and A. Maquet, Stimulated radiative correction in Hydrogen in the presence of a strong laser field. Phys. Rev., t. 27 A, 1983, p. 977-995.

[2] J. Avron and I. Herbst, Spectral and scattering theory for Schrödinger operators related to the Stark effect. Commun. Math. Phys., t. 52, 1977, p. 239-254. | MR | Zbl

[3] J. Ginibre and M. Moulin, Hilbert space approach to the quantum mechanical three-body problem. Ann. Inst. H. Poincaré, t. 21 A, 1974, p. 97-145. | Numdam | MR | Zbl

[4] S. Graffi and V. Grecchi, Resonances in Stark effect and perturbation theory. Commun. Math. Phys., t. 62, 1978, p. 83-96. | MR

[5] S. Graffi and V. Grecchi, Resonances in Stark effect of atomic systems and perturbation theory. Commun. Math. Phys., t. 79, 1981, p. 91-109. | MR | Zbl

[6] S. Graffi and K. Yajima, Exterior complex scaling and the AC-Stark effect in a Coulomb field. Commun. Math. Phys., t. 89, 1983, p. 277-301. | MR | Zbl

[7] I. Herbst, Dilation analyticity in constant electric field I: The two-body problem. Commun. Math. Phys., t. 64, 1979, p. 279-298. | MR | Zbl

[8] I. Herbst and B. Simon, Dilation analyticity in constant electric field, II: The N-body problem, Borel summability. Commun. Math. Phys., t. 80, 1981, p. 181-216. | MR | Zbl

[9] C.R. Holt, M.G. Raymer and W.P. Reinhardt, Time-dependence of two-, three-, and four photon ionization in atomic hydrogen. Phys. Rev., t. 27 A, 1983, p. 2971- 2988.

[10] J.S. Howland, Stationary theory for time-dependent Hamiltonians. Math. Ann., t. 207, 1974, p. 315-335. | MR | Zbl

[11] W. Hunziker and C.A. Pillet, Degenerate asymptotic perturbation theory. Commun. Math. Phys., t. 90, 1983, p. 219-235. | MR | Zbl

[12] T. Kato, Perturbation Theory for Linear Operators. New York, Springer, 1966. | MR | Zbl

[13] T. Kato, Wave operators and similarity for some non self-adjoint operators. Math. Ann., t. 162, 1966, p. 258-276. | MR | Zbl

[14] L.D. Landau and E.M. Lifshitz, Quantum Mechanics. Oxford, Pergamon 1965. | Zbl

[15] N.L. Manakov and A.G. Feinshtein, Quasistationary quasi-energy states and convergence of the perturbation series in a monochromatic field. Theor. Math. Phys., t. 48, 1982, p. 815-822.

[16] N.L. Manakov, M.A. Preobrazhenskii, L.P. Rapoport and A.G. Feinshtein, Higher order perturbation theory effects in the shift and width of atomic levels in an optical field. Soviet Physics JETP, t. 48, 1978, p. 626-635.

[17] N.L. Manakov and A.G. Fbinshtein, Decay of a weakly bound level in a monochromatic field. Soviet Physics JETP, t. 52, 1980, p. 382-388.

[18] A. Maquet, S.I. Chu and W.P. Reinhardt, Stark ionization in dc and ac-fields: An L2-complex coordinates approach. Phys. Rev., t. 27 A, 1983, p. 2946-2970.

[19] M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. IV, New York, Academic 1978. | Zbl

[20] B. Simon, Resonances in N-body quantum systems with dilation analytic potentials and the foundations of time-dependent perturbation theory. Ann. Math., t. 97, 1973, p. 247-274. | MR | Zbl

[21] B. Simon, The definition of molecular resonance curves by means of exterior complex scaling. Phys. Lett., t. 71 A, 1979, p. 211-214.

[22] A. Tip, Atoms in circularly polarized fields: the dilation analytic approach. J. Phys., t. 16 A, 1983, p. 3237-3259. | MR

[23] K. Yajima, Resonances for the AC-Stark effect. Commun. Math. Phys., t. 87, 1982, p. 331-352. | MR | Zbl

[24] K. Yajima, Scattering theory for Schrödinger operators with potentials periodic in time. J. Math. Soc. Japan, t. 29, 1977, p. 729-743. | MR | Zbl

[25] Ya.B. Zeldovich, Scattering and emission of a quantum system in a strong electromagnetic wave. Soviet Physics Usp., t. 16, 1973, p. 427-433.

[26] J.S. Howland, Complex scaling of ac Stark Hamiltonians. J. Math. Phys., t. 24, 1983, p. 1240-1244. | MR