Abstract
The Volkov solutions for the Dirac equation are used to describe the dynamics of an electronic wave packet interacting with a very strong laser pulse in the relativistic regime. By means of a projection method we explore the regimes of long and short laser wavelength compared to the wave packet dimensions. Comparisons with classical electron trajectories show that the behavior of the expectation value of the operators becomes different as we enter to the short-wavelength regime. In addition, a study of the wave packet evolution shows unexpected features in this regime. The calculations are completed with an analysis of the total wave function in terms of the dynamics of its positive and negative energy components.
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