Eikonal Approximation for Floquet Scattering
Quantum Physics
2024-09-10 v1
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.
Cite
@article{arxiv.2407.14751,
title = {Eikonal Approximation for Floquet Scattering},
author = {Yaru Liu and Peng Zhang},
journal= {arXiv preprint arXiv:2407.14751},
year = {2024}
}