Angular minimum uncertainty states with large uncertainties
Quantum Physics
2007-05-23 v2
Abstract
The uncertainty relation for angle and angular momentum has a lower bound which depends on the form of the state. Surprisingly, this lower bound can be very large. We derive the states which have the lowest possible uncertainty product for a given uncertainty in the angle or in the angular momentum. We show that, if the given angle uncertainty is close to its maximum value, the lowest possible uncertainty product tends to infinity.
Keywords
Cite
@article{arxiv.quant-ph/0512077,
title = {Angular minimum uncertainty states with large uncertainties},
author = {Joerg B. Goette and Paul M. Radmore and Roberta Zambrini and Stephen M. Barnett},
journal= {arXiv preprint arXiv:quant-ph/0512077},
year = {2007}
}
Comments
v1: 14 pages, 7 figures v2: 15 pages, 7 figures, added references to other angular momentum uncertainties, added content on large uncertainties