Geodesic
Equation for the Complex Energy of a Bound Particle in a Laser Radiation Field in the Presence of Strong Constant Electromagnetic Fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 145 (2005) no. 2, pp. 198-211

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We construct exact solutions of the Schrodinger and Pauli equations for charged particles in the external field of the Redmond generalized configuration. We calculate the Green's functions of scalar and spinning particles in this field. Using them, we calculate the equations for the complex quasienergy of a bound particle (bound by a short-range potential) two different ways. In the example of an external constant electric field, we discuss the applicability domain of the obtained equations and the differences between their solutions.
Keywords: strong fields, nonlinear phenomena, quasistationary states.
Mots-clés : exact solutions 
@article{TMF_2005_145_2_a5,
     author = {G. A. Kravtsova and A. M. Mandel' and V. N. Rodionov},
     title = {Equation for the {Complex} {Energy} of a {Bound} {Particle} in a {Laser} {Radiation} {Field} in the {Presence} of {Strong} {Constant} {Electromagnetic} {Fields}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {198--211},
     publisher = {mathdoc},
     volume = {145},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_145_2_a5/}
}
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G. A. Kravtsova; A. M. Mandel'; V. N. Rodionov. Equation for the Complex Energy of a Bound Particle in a Laser Radiation Field in the Presence of Strong Constant Electromagnetic Fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 145 (2005) no. 2, pp. 198-211. http://geodesic.mathdoc.fr/item/TMF_2005_145_2_a5/