Geodesic
Sudden-perturbation approximation for the dirac equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 1, pp. 58-63

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We solve the Dirac equation describing the behavior of a hydrogen-like atom interacting with a spatially inhomogeneous ultrashort electromagnetic field pulse in the sudden-perturbation approximation. We express the corresponding transition probabilities through the known inelastic atomic form factors widely used in the theory of relativistic collisions of charged particles with atoms.
Keywords: atom, ultrashort electromagnetic field pulse, sudden-perturbation approximation
Mots-clés : Dirac equation. 
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     author = {V. I. Matveev},
     title = {Sudden-perturbation approximation for the dirac equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {58--63},
     publisher = {mathdoc},
     volume = {142},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_142_1_a5/}
}
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V. I. Matveev. Sudden-perturbation approximation for the dirac equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 1, pp. 58-63. http://geodesic.mathdoc.fr/item/TMF_2005_142_1_a5/