Abstract
In this paper the Principle of Limited Entropic Uncertainty (LEU-Principle) for the canonic conjugate variables in quantum physics is proved in a more general form by using Tsallis-like entropies for positive nonextensivities ( q>0). Results on experimental tests of this new principle for the angle-angular momentum variables in the quantum scattering are illustrated by using 49 sets of pion-nucleus phase shifts.
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