The authors solve the Dirac equation for an electron interacting with a quantised and elliptically polarised electromagnetic field. They use the solution to obtain a relativistic S-matrix amplitude for multiphoton ionisation in the high-intensity limit. Its nonrelativistic limit is also derived and is used to construct a multiphoton transition-rate formula which is compared with previous results.
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Guo et al. (1988) studied this question.
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