论文标题
部分可观测时空混沌系统的无模型预测
Relativistic free motion time of arrival operator for massive spin-0 particles with positive energy
论文作者
论文摘要
Razavi在[Il Nuovo Cimento B \ textbf {63}，271（1969）中构建了Spin-0粒子的Aharonov-Bohm到达操作员的相对论版本。我们通过采用操纵的Hilbert空间扩展来详细研究操作员。结果表明，操作员的操纵希尔伯特空间扩展提供了更多的见解，以超越拉扎维的原始结果。这使我们可以利用出现统一到达的到达本征函数的时间来构建到达分布的时间。还计算了期望值，并表明粒子可以比经典的预期更早地到达。最后，构造的到达分布时间和期望值被证明与特殊相对论一致。
A relativistic version of the Aharonov-Bohm time of arrival operator for spin-0 particles was constructed by Razavi in [Il Nuovo Cimento B \textbf{63}, 271 (1969)]. We study the operator in detail by taking its rigged Hilbert space extension. It is shown that the rigged Hilbert space extension of the operator provides more insights into the time of arrival problem that goes beyond Razavi's original results. This allows us to use time of arrival eigenfunctions that exhibit unitary arrival to construct time of arrival distributions. The expectation value is also calculated and shown that particles can arrive earlier or later than expected classically. Lastly, the constructed time of arrival distribution, and expectation value are shown to be consistent with special relativity.
