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arXiv 0802.2682quant-ph
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评“标准量子力学的时间算符之箭“--时间的符号!

Comment on "An Arrow of Time Operator for Standard Quantum Mechanics" - a sign of the time!

Michael J. W. Hall

摘要:

本文证明了Strauss等人最近提出的“时间箭头”算子M_F,在arXiv:0802.2448v1 [quant-ph]中,它仅仅与可观测的规范“时间”的符号T有关(显然是由Holevo首先引入的)。特别地,的单调减少< M_F >对应于< sgn T >随时间单调增加的事实。这种关系也提供了性质M_F &lt; 1的物理解释。一些进一步的性质和可能的概括指出,包括几乎周期系统。

英文摘要:

It is shown that the `arrow of time' operator, M_F, recently suggested by Strauss et al., in arXiv:0802.2448v1 [quant-ph], is simply related to the sign of the canonical `time' observable, T (apparently first introduced by Holevo). In particular, the monotonic decrease of < M_F > corresponds to the fact that < sgn T > increases monotonically with time. This relationship also provides a physical interpretation of the property M_F < 1. Some further properties and possible generalisations are pointed out, including to almost-periodic systems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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