We consider the states with extremum products and sums of the uncertainties in non-commuting observables. These are illustrated by two specific examples of harmonic oscillator and the angular momentum states. It shows that the coherent states of the harmonic oscillator are characterized by the minimum uncertainty sum 〈(Δq)2〉 + 〈(Δp)2〉. The extremum values of the sums and products of the uncertainties of the components of the angular momentum are also obtained.
Volume 94, 2020
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