论文标题

解决量子重力问题的解决方案也解决了量子力学中到达问题的时间

The solution to the problem of time in quantum gravity also solves the time of arrival problem in quantum mechanics

论文作者

Gambini, Rodolfo, Pullin, Jorge

论文摘要

几年前,我们与合着者一起介绍了量子重力中时间问题的解决方案,其中包括用真实时钟来制定量子理论。它将页面和Wootters的关系建议与Rovelli的动议不断发展的常数相结合。时间与操作员而非经典参数相关联。我们在这里表明,这种结构为量子力学中到达问题的时间提供了自然的解决方案,并导致时钟定义明确的时间能量不确定性关系。

We introduced with coauthors some years ago a solution to the problem of time in quantum gravity which consists in formulating the quantum theory in terms of real clocks. It combines Page and Wootters' relational proposal with Rovelli's evolving constants of the motion. Time is associated with an operator and not a classical parameter. We show here that this construction provides a natural solution to the time of arrival problem in quantum mechanics and leads to a well defined time-energy uncertainty relation for the clocks.

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