Floquet散射的程函近似
Eikonal Approximation for Floquet Scattering
AI总结：
本文将程函近似推广到周期性哈密顿量下的Floquet散射，并以振动球形势阱验证其适用性，为外场操控高能碰撞与反应提供方法。
摘要：
程函近似（EA）被广泛应用于各种高能散射问题。在本工作中，我们将这一近似从具有时间无关哈密顿量的散射问题推广到具有周期性哈密顿量的散射问题，即Floquet散射问题。我们进一步通过关于振动球形势阱的散射问题，比较该近似给出的结果与精确结果，阐明了我们推广的EA的适用性。我们所发展的推广EA有助于研究利用外场操控高能散射过程，例如通过强激光场操控原子、分子或核碰撞或反应。
英文摘要：
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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