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Sudden-perturbation approximation for the dirac equation

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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.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 142, No. 1, pp. 58–63, January, 2005.

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Matveev, V.I. Sudden-perturbation approximation for the dirac equation. Theor Math Phys 142, 48–53 (2005). https://doi.org/10.1007/s11232-005-0006-0

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