Eikonal Approximation for Floquet Scattering

• URL: http://arxiv.org/abs/2407.14751v1
• Date: Sat, 20 Jul 2024 05:14:04 GMT
• Title: Eikonal Approximation for Floquet Scattering
• Abstract summary: 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.
• Score: 3.004788114489393
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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