Generalized Schrödinger-Robertson uncertainty relations for multiple non-commuting observables are equivalently expressed using quantum Pearson correlation coefficients, with analysis of their consequences for observable correlations.
Gnanadesikan, Methods for Statistical Data Analysis of Multivariate Observations, 2nd ed., Wiley–Interscience Publication, New York, 1997
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Notes on some inequalities, resulting uncertainty relations and correlations. 1. General mathematical formalism
Generalized Schrödinger-Robertson uncertainty relations for multiple non-commuting observables are equivalently expressed using quantum Pearson correlation coefficients, with analysis of their consequences for observable correlations.