碰撞退相干的归一化：δ函数的平方和独立的交叉检验
Normalization of Collisional Decoherence: Squaring the Delta Function, and an Independent Cross-Check
摘要：
我们证明，当Hornberger-Sipe计算碰撞退相干时，用能量的平方δ函数代替动量的绝对值δ，按照Diósi介绍的方法，简单地得到了退相干率的修正公式。Hornberger和Sipe以及Diósi的结果表明是一致的。作为一个独立的交叉检查，我们计算了修正后的退相干主方程所隐含的硬球的均方坐标扩散，并表明它与经典的布朗运动分析所计算的相同的量完全一致。
英文摘要：
We show that when the Hornberger--Sipe calculation of collisional decoherence is carried out with the squared delta function a delta of energy instead of a delta of the absolute value of momentum, following a method introduced by Diósi, the corrected formula for the decoherence rate is simply obtained. The results of Hornberger and Sipe and of Diósi are shown to be in agreement. As an independent cross-check, we calculate the mean squared coordinate diffusion of a hard sphere implied by the corrected decoherence master equation, and show that it agrees precisely with the same quantity as calculated by a classical Brownian motion analysis.
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