Characterization of quantum angular-momentum fluctuations via principal components
Abstract
Description
We elaborate an approach to quantum fluctuations of angular momentum based on the diagonalization of the covariance matrix in two versions: real symmetric and complex Hermitian. At difference with previous approaches this is SU(2) invariant and avoids any difficulty caused by nontrivial commutators. Meaningful uncertainty relations are derived which are nontrivial even for vanishing mean angular momentum. We apply this approach to some relevant states.
10 pages, Two column. New section II and some clarifying comments
10 pages, Two column. New section II and some clarifying comments