数学与系统科学研究院

计算数学所学术报告

报告人：        Liu Xiaoyan

中国科学院计算数学研究所

报告题目 The Structure-preserving Algorithm for Use in the Intense Laser-atom Interaction

Abstract: We obtained the asymptotic boundary condition of the atom in the laser field by Fourier transformation and discussed the error induced by the three kinds of asymptotic boundary conditions. Using the first kind of boundary condition the time-dependent Schrodinger equations with initial conditions in the infinite space can be transformed into the problem with initial and boundary conditions in the finite space, and it can further be transformed into the inhomogeneous canonic equations by substituting symmetric difference quotient for partial derivative. We apply the symplectic algorithm to solve the inhomogeneous canonic equations. Moreover we obtained the norm-conserved 2-order explicit symplectic scheme for solving the time-dependent equation when Hamiltonian is explicit time-dependent. Moreover we investigate the high-order harmonics.

报告时间：2004年1月7日  下午4：00

报告地点：科技综合楼三层报告厅