We revisit the arguments underlying two well-known arrival-time distributions in quantum mechanics, viz., the Aharonov–Bohm–Kijowski (ABK) distribution, applicable for freely moving particles, and the quantum flux (QF) distribution. An inconsistency in the original axiomatic derivation of Kijowski’s result is pointed out, along with an inescapable consequence of the ‘negative arrival times’ inherent to this proposal (and generalizations thereof). The ABK free-particle restriction is lifted in a discussion of an explicit arrival-time set-up featuring a charged particle moving in a constant magnetic field. A natural generalization of the ABK distribution is in this case shown to be critically gauge-dependent. A direct comparison to the QF distribution, which does not exhibit this flaw, is drawn (its acknowledged drawback concerning the quantum backflow effect notwithstanding).

我们重新审视了量子力学中两个众所周知的到达时间分布的论据，即适用于自由运动粒子的 Aharonov-Bohm-Kijowski (ABK) 分布和量子通量 (QF) 分布。指出了 Kijowski 结果的原始公理推导中的不一致，以及该提议固有的“负到达时间”（及其概括）的不可避免的后果。ABK 自由粒子限制在讨论明确的到达时间设置时被取消，该设置具有带电粒子在恒定磁场中移动的特点。在这种情况下，ABK 分布的自然概括显示为严格依赖于规范。与 QF 分布的直接比较，它没有表现出这个缺陷，