Geodesic
Quasistationary quasi-energy states and convergence of perturbation series in a monochromatic field
Teoretičeskaâ i matematičeskaâ fizika, Tome 48 (1981) no. 3, pp. 385-395 
N. L. Manakov; A. G. Fainshtein. Quasistationary quasi-energy states and convergence of perturbation series in a monochromatic field. Teoretičeskaâ i matematičeskaâ fizika, Tome 48 (1981) no. 3, pp. 385-395. http://geodesic.mathdoc.fr/item/TMF_1981_48_3_a9/
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     author = {N. L. Manakov and A. G. Fainshtein},
     title = {Quasistationary quasi-energy states and convergence of perturbation series in a~monochromatic field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {385--395},
     year = {1981},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_48_3_a9/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

To investigate the decay of a quantum system under the influence of an alternating external field, we develop a method of quasistationary quasi-energy states, whose complex quasi-energies and wave functions are obtained as the poles and residues of the wave functions of quasi-energy states of the continuum in the complex plane of the energy, The various forms of expression and the analytic properties of the integral equations for the quasistationary quasi-energy states are investigated. On the basis of an exact solution to a model problem and the general equations for the quasistationary quasi-energy states it is established that the perturbation series for the complex quasi-energy converge, and simple estimates are obtained for the radius of convergence.

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