伽利略斜塔实验的量子模拟
On the quantum analogue of Galileo's leaning tower experiment
摘要：
利用引力势下演化的波包重新讨论了伽利略斜塔实验的量子模拟。我们首先计算的位置检测概率的粒子向上投影对重力的经典转折点周围，也围绕点的初始投影，表现出在这两个点的质量依赖性。然后，我们使用量子概率流计算自由下落粒子的平均到达时间，这也是质量相关的。在大质量的极限下，位置探测概率和平均到达时间的质量依赖性消失。因此，弱等效原理和量子力学之间的兼容性恢复到后者的宏观极限。
英文摘要：
The quantum analogue of Galileo's leaning tower experiment is revisited using wave packets evolving under the gravitational potential. We first calculate the position detection probabilities for particles projected upwards against gravity around the classical turning point and also around the point of initial projection, which exhibit mass dependence at both these points. We then compute the mean arrival time of freely falling particles using the quantum probability current, which also turns out to be mass dependent. The mass dependence of both the position detection probabilities and the mean arrival time vanish in the limit of large mass. Thus, compatibility between the weak equivalence principle and quantum mechanics is recovered in the macroscopic limit of the latter.
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