缀饰原子的简化波函数
A Simplified Wave Function for Dressed Atoms
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摘要: 作为含时薛定谔方程的微扰近似解, 在速度规范下给出了激光场中缀饰原子的一个波函数. 利用平均激发能近似和完备关系, 可将此波函数简化为一个含时的相乘算符作用于无场时的"裸原子"态上. 在软光子近似下, 平均激发能仅出现在光场频率的一阶和二阶项上. 此波函数适用于计算激光辅助的散射过程, 特别是重排过程.Abstract: A wave function for laser dressed atom is derived as a perturbative solution of the time-dependent Schrdinger equation in the velocity gauge. With the use of the average excitation energy approximation and the closure approximation, the solution is reduced to a time-dependent operator acting on the "bare" atomic state. In soft-photon approximation, the average excitation energy only appears in the first and second order terms of field frequency. Such a simplified dressed wave function is useful in the calculation of laser-assisted scattering, especially in the laser-assisted rearrangement collisions.
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