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arXiv · 1509.08085

Phase-number uncertainty from Weyl commutation relations

Alfredo Luis·Gonzalo Donoso
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Abstract

We derive suitable uncertainty relations for characteristics functions of phase and number variables obtained from the Weyl form of commutation relations. This is applied to finite-dimensional spin- like systems, which is the case when describing the phase difference between two field modes, as well as to the phase and number of a single-mode field. Some contradictions between the product and sums of characteristic functions are noted.

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Alfredo Luis, Gonzalo Donoso. 2015-09-27. Phase-number uncertainty from Weyl commutation relations. https://doi.org/10.1016/j.aop.2017.05.004

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