Phase-number uncertainty from Weyl commutation relations
Quantum Physics
2017-12-06 v2
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.
Keywords
Cite
@article{arxiv.1509.08085,
title = {Phase-number uncertainty from Weyl commutation relations},
author = {Alfredo Luis and Gonzalo Donoso},
journal= {arXiv preprint arXiv:1509.08085},
year = {2017}
}
Comments
7 pages, 4 figures, enlarged and improved version with a new author