Characteristic uncertainty relations

D. A. Trifonov, Stoil Donev · Journal of Physics A Mathematical and General · 1998

New uncertainty relations for n observables are established. The relations take the invariant form of inequalities between the characteristic coefficients of order r , , of the uncertainty matrix and the matrix of mean commutators of the observables. It is shown that the second- and third-order characteristic inequalities for the three generators of and SU (2) are minimized in the corresponding group-related coherent states with maximal symmetry.

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