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arXiv · 2407.14751

Eikonal Approximation for Floquet Scattering

Yaru Liu·Peng Zhang
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Abstract

The eikonal approximation (EA) is widely used in various high-energy scattering problems. In this work we generalize this approximation from the scattering problems with time-independent Hamiltonian to the ones with periodical Hamiltonians, {\it i.e.}, the Floquet scattering problems. We further illustrate the applicability of our generalized EA via the scattering problem with respect to a shaking spherical square-well potential, by comparing the results given by this approximation and the exact ones. The generalized EA we developed is helpful for the research of manipulation of high-energy scattering processes with external field, {\it e.g.}, the manipulation of atom, molecule or nuclear collisions or reactions via strong laser fields.

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Yaru Liu, Peng Zhang. 2024-07-20. Eikonal Approximation for Floquet Scattering. https://doi.org/10.1088/1572-9494%2Fad6550

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