The spreading properties of the stationary states of the quantum multidimensional harmonic
oscillator are analytically discussed by means of the main dispersion measures (radial …

Statistical measures of complexity hold significant potential for applications in D-dimensional
finite fermion systems, spanning from the quantification of the internal disorder of atoms and …

We revisit entropic formulations of the uncertainty principle (UP) for an arbitrary pair of
positive operator-valued measures (POVM) A and B, acting on finite dimensional Hilbert …

The Shannon entropy, the desequilibrium and their generalizations (Rényi and Tsallis
entropies) of the three‐dimensional single‐particle systems in a spherically symmetric …

We propose an alternative measure of quantum uncertainty for pairs of arbitrary observables
in the two-dimensional case, in terms of collision entropies. We derive the optimal lower …

The entropic uncertainty measures of the multidimensional hydrogenic states quantify the
multiple facets of the spatial delocalization of the electronic probability density of the system …

The position-momentum Shannon and Rényi uncertainty products of general quantum
systems are shown to be bounded not only from below (through the known uncertainty …

The Rényi entropies R p [ρ], p> 0,≠ 1 of the highly-excited quantum states of the D-
dimensional isotropic harmonic oscillator are analytically determined by use of the strong …

In this work we find that not only the Heisenberg-like uncertainty products and the Rényi-
entropy-based uncertainty sum have the same first-order values for all the quantum states of …

We derive two quantum uncertainty relations for position and momentum coarse-grained
measurements. Building on previous results, we first improve the lower bound for uncertainty …