Uncertainty for spin systems
Quantum Physics
2007-05-23 v1
Abstract
A modified definition of quantum mechanical uncertainty D for spin systems, which is invariant under the action of SU(2), is suggested. Its range is shown to be h^2j<D<h^2j(j+1) within any irreducible representation j of SU(2) and its mean value in Hilbert space computed using the Fubini-Study metric is determined to be mean(D)=h^2j(j+1/2). The most used sets of coherent states in spin systems coincide with the set of minimum D uncertainty states.
Keywords
Cite
@article{arxiv.quant-ph/0009033,
title = {Uncertainty for spin systems},
author = {Nuno Barros e Sa},
journal= {arXiv preprint arXiv:quant-ph/0009033},
year = {2007}
}
Comments
Revtex, 9 pages, no figures