@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}, volume = {43}, year = {1985}, pages = {215-234}, mrnumber = {797273}, zbl = {0594.46065}, language = {en}, url = {http://dml.mathdoc.fr/item/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, Tome 43 (1985) pp. 215-234. http://gdmltest.u-ga.fr/item/AIHPA_1985__42_3_215_0/
[1] Stimulated radiative correction in Hydrogen in the presence of a strong laser field. Phys. Rev., t. 27 A, 1983, p. 977-995.
, and ,[2] Spectral and scattering theory for Schrödinger operators related to the Stark effect. Commun. Math. Phys., t. 52, 1977, p. 239-254. | MR 468862 | Zbl 0351.47007
and ,[3] Hilbert space approach to the quantum mechanical three-body problem. Ann. Inst. H. Poincaré, t. 21 A, 1974, p. 97-145. | Numdam | MR 368656 | Zbl 0311.47003
and ,[4] Resonances in Stark effect and perturbation theory. Commun. Math. Phys., t. 62, 1978, p. 83-96. | MR 506369
and ,[5] Resonances in Stark effect of atomic systems and perturbation theory. Commun. Math. Phys., t. 79, 1981, p. 91-109. | MR 609230 | Zbl 0493.35034
and ,[6] Exterior complex scaling and the AC-Stark effect in a Coulomb field. Commun. Math. Phys., t. 89, 1983, p. 277-301. | MR 709468 | Zbl 0522.35085
and ,[7] Dilation analyticity in constant electric field I: The two-body problem. Commun. Math. Phys., t. 64, 1979, p. 279-298. | MR 520094 | Zbl 0447.47028
,[8] Dilation analyticity in constant electric field, II: The N-body problem, Borel summability. Commun. Math. Phys., t. 80, 1981, p. 181-216. | MR 623157 | Zbl 0473.47038
and ,[9] Time-dependence of two-, three-, and four photon ionization in atomic hydrogen. Phys. Rev., t. 27 A, 1983, p. 2971- 2988.
, and ,[10] Stationary theory for time-dependent Hamiltonians. Math. Ann., t. 207, 1974, p. 315-335. | MR 346559 | Zbl 0261.35067
,[11] Degenerate asymptotic perturbation theory. Commun. Math. Phys., t. 90, 1983, p. 219-235. | MR 714435 | Zbl 0522.47011
and ,[12] Perturbation Theory for Linear Operators. New York, Springer, 1966. | MR 203473 | Zbl 0148.12601
,[13] Wave operators and similarity for some non self-adjoint operators. Math. Ann., t. 162, 1966, p. 258-276. | MR 190801 | Zbl 0139.31203
,[14] Quantum Mechanics. Oxford, Pergamon 1965. | Zbl 0178.57901
and ,[15] Quasistationary quasi-energy states and convergence of the perturbation series in a monochromatic field. Theor. Math. Phys., t. 48, 1982, p. 815-822.
and ,[16] 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.
, , and ,[17] Decay of a weakly bound level in a monochromatic field. Soviet Physics JETP, t. 52, 1980, p. 382-388.
and ,[18] Stark ionization in dc and ac-fields: An L2-complex coordinates approach. Phys. Rev., t. 27 A, 1983, p. 2946-2970.
, and ,[19] Methods of Modern Mathematical Physics, Vol. IV, New York, Academic 1978. | Zbl 0401.47001
and ,[20] 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 353896 | Zbl 0252.47009
,[21] The definition of molecular resonance curves by means of exterior complex scaling. Phys. Lett., t. 71 A, 1979, p. 211-214.
,[22] Atoms in circularly polarized fields: the dilation analytic approach. J. Phys., t. 16 A, 1983, p. 3237-3259. | MR 725608
,[23] Resonances for the AC-Stark effect. Commun. Math. Phys., t. 87, 1982, p. 331-352. | MR 682111 | Zbl 0538.47010
,[24] Scattering theory for Schrödinger operators with potentials periodic in time. J. Math. Soc. Japan, t. 29, 1977, p. 729-743. | MR 470525 | Zbl 0356.47010
,[25] Scattering and emission of a quantum system in a strong electromagnetic wave. Soviet Physics Usp., t. 16, 1973, p. 427-433.
,[26] Complex scaling of ac Stark Hamiltonians. J. Math. Phys., t. 24, 1983, p. 1240-1244. | MR 702107
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