弱光场下电子与库仑势散射问题的弱耦合解法

WEAK COUPLING METHOD FOR TREATING THE SCATTE-RING OF ELECTRONS BY COULOMB POTENTIAL IN WEAK LASER FIELD

电子与库仑势散射,在圆极化、偶极近似的外光场作用下,其Schrodinger方程可通过么正变换并引入修饰势来讨论。对修饰势选取恰当的公式展开,并用Floquet分波法,可分离出径向波动方程组,它在弱耦合近似下是可积的,并且近似的波函数,S矩阵和截面可解析表示,其结果与数值迭代解作了比较。

In a cicularly polarized radiation field (dipole approximation), for electrons scattered by Coulomb potential, the Schrodinger equation is handled by using a unitary transformation and a dressed potential. When the dressed potential is expanded into a proper form, the equations for the radial wave function are separated by Floquet partial expansion and they are integrable in weak coupling approximation. Therefore, the approximate wave function, S-matrix and the cross section can be expressed analytically. The comparison to the numerical iterated solution is discussed.