运动电荷场中连续电子的量子处理
Quantum Treatment of Continuum Electrons in the Fields of Moving Charges
摘要：
本文用从头算方法研究了连续电子在运动电荷场中的时间演化。这里的本质奇异性与发散相因子的连续波函数被识别和删除解析。结果，正则化波函数的连续分量随时间缓慢变化。因此，人们可以传播连续电子到渐近大的时间，并获得数值稳定，收敛良好的喷射电子动量谱与非常低的数值噪声。因此，我们的方法解决了悬而未决的争议，有关结构的电子动量分布。主要结论是一般性的，并在这里说明质子碰撞电离原子氢。我们的结果表明，为了获得正确的长时间的自由粒子的传播，这里确定的本质奇异性应该从含时薛定谔方程的解的连续分量中去除。
英文摘要：
An ab initio, three-dimensional quantum mechanical calculation has been performed for the time-evolution of continuum electrons in the fields of moving charges. Here the essential singularity associated with the diverging phase factor in the continuum wave function is identified and removed analytically. As a result, the continuum components of the regularized wave function are slowly varying with time. Therefore, one can propagate continuum electrons to asymptotically large times and obtain numerically stable, well-converged ejected electron momentum spectra with very low numerical noise. As a consequence, our approach resolves outstanding controversies concerning structures in electron momentum distributions. The main conclusions are general and are illustrated here for ionization of atomic hydrogen by proton impact. Our results show that in order to obtain correct long-time free-particle propagation, the essential singularity identified here should be removed from the continuum components of solutions to the time-dependent Schrodinger equation.
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