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摘要: 外光场下电子与库仑势散射的schrodinger 方程可用Floque 分波法分离变量. 径向波动方程是一组无限祸合的二次线性微分方程组, 当弱外光场可视为微扰, 方程组将近似为二次常微分方程并且可积, 由此可得径向波函数、s 矩阵、截面. 无论何种极化或是否作偶极近似,共振谱线是普遍存在的, 井给出共振能量和强度的计算公式.
Abstract: In a laser field, for the electron scattered by Coulomb potential, when the wave function is expanded by Floquet partial wave, the Sehrodinger equation separates into the radial form by separation of variables. The system of equations for the radial wave function is infinitely coupling linear second order differential equations. When weak laser field is considered as a pertubation, the equations can be reduced into second order ordinary differential equations and they are integrable.The radial wave functions S-matrix and the cross section are obtained. Finally, the resonance lines appear for differential cases of polarizations no matter whether the dipole approximation is used. The resonance energies, the intensities of resonance lines are obtained.