Uncertainty principle in larmor clock

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QIAO Chuan and REN Zhong-Zhou. Uncertainty principle in larmor clock[J]. Chinese Physics C, 2011, 35(11): 992-996. doi: 10.1088/1674-1137/35/11/002
QIAO Chuan and REN Zhong-Zhou. Uncertainty principle in larmor clock[J]. Chinese Physics C, 2011, 35(11): 992-996.  doi: 10.1088/1674-1137/35/11/002 shu
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Received: 2011-03-09
Revised: 2011-04-06
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Uncertainty principle in larmor clock

Abstract: It is well known that the spin operators of a quantum particle must obey uncertainty relations. We use the uncertainty principle to study the Larmor clock. To avoid breaking the uncertainty principle, Larmor time can be defined as the ratio of the phase difference between a spin-up particle and a spin-down particle to the corresponding Larmor frequency. The connection between the dwell time and the Larmor time has also been confirmed. Moreover, the results show that the behavior of the Larmor time depends on the height and width of the barrier.

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