四川大学学报（自然科学版）2023，Vol.60Issue(6)：151-157,7.DOI:10.19907/j.0490-6756.2023.064002
由稳定流形和不稳定流形证实氢原子的粘性效应
The stickiness effect of hydrogen atom evidenced by stable and unstable manifolds
摘要
Abstract
In this paper,we investigated the stickiness effect of the Hamilton system of the Hydrogen at-om exposed to intense laser field.Even for the one electron system,its Poincare surface of section shows the chaotic and regular parts due to the laser field which can be explained by KAM(Kolmogorov,Ar-nold,and Moser)theory.The unstable periodic orbit(UPO)in chaotic"sea"was located by variational method and the corresponding stable manifold(SM)and unstable manifold(UM)of the UPO were nu-merically calculated.It was shown that the dynamics of ionization of the one electron system is governed by the UPO.On one hand,the SM of UPO is well superposed with the recurrence plot,which indicates that the SM overlaps just the stable initial points in phase space.On the other hand,the UM is almost coincide with the densely distributed points on Poincare surface of section.This indicated that the UM is just the ionization channels of the trajectories driven by laser field.Furthermore,the survival probabili-ties of different regions which gradually cross the UM and SM tangential flow nearby the stable island are studied.They obey an algebraic decaying law.The similar decay trend are also observed on different regions on the UM which possess almost the same decay parameters with that of region nearby the UPO.These observations confirmed that the stability properties of UPO play very important role in the stickiness effect of the phase space nearby the KAM stable islands.关键词
光电离/粘性/不稳定周期轨迹/稳定流形/不稳定流形Key words
Photo ionization/Stickiness/Unstable periodic orbit/Stable manifold/Unstable manifold分类
数理科学引用本文复制引用
刘照军,王丁,薄文静,王培杰..由稳定流形和不稳定流形证实氢原子的粘性效应[J].四川大学学报（自然科学版）,2023,60(6):151-157,7.基金项目
国家自然科学基金面上项目(21872097) （21872097）
