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In this work we determine and discuss the entropic uncertainty measures ofShannon type for all the discrete stationary states of the multidimensionalharmonic systems directly in terms of the states' hyperquantum numbers, thedimensionality and the oscillator strength. We have found that these entropieshave a monotonically increasing behavior when both the dimensionality and thepopulation of the states are increasing

Exact Shannon entropies for the multidimensional harmonic states