Comment on "An Arrow of Time Operator for Standard Quantum Mechanics" - a sign of the time!
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- February 2008
- DOI:
- 10.48550/arXiv.0802.2682
- arXiv:
- arXiv:0802.2682
- Bibcode:
- 2008arXiv0802.2682H
- Keywords:
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- Quantum Physics
- E-Print:
- Further propeties, generalisation to almost periodic systems, ref added, minor corrections, bad pun