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In the length or velocity gauge, this interaction is given by HIL (t′) =rE (t′) or HIV (t′) = [p+A (t′)] 2 2, respectively.
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Since the bound state with which the returning electron recombines is highly localized, a broader wave packet means a less pronounced overlap upon recombination and, consequently, weaker harmonics.
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In these SFA formulations, for exponentially decaying states (p) and px (p) exhibit a singularity, which can be eliminated by being incorporated in the action. This has not been included in our model, and may lead to further differences between both yields. We expect, however, these discrepancies to be minimal, as this additional term is slowly varying. For a discussion in the length-gauge context, cf., C. Figueira de Morisson Faria and M. Lewenstein, J. Phys. B JPAPEH 0953-4075 38, 3251 (2005).
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