Uncertainty relations have become the trademark of quantum theory since they were
formulated by Bohr and Heisenberg. This review covers various generalizations and …

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

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 …

We explore quantum uncertainty relations involving the Fisher information functionals I x and
I p evaluated, respectively, on a wavefunction Ψ (x) defined on a D-dimensional …

We investigate the uncertainty principle for two successive projective measurements in
terms of Rényi entropy based on a single quantum system. Our results cover a large family …

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 entropic moments of the probability density of a quantum system in position and
momentum spaces describe not only some fundamental and/or experimentally accessible …

This chapter briefly reviews the present knowledge about the analytic information theory of
quantum systems with non-standard dimensionality in the position and momentum spaces …

The Dirac-delta-like quantum-mechanical potentials are frequently used to describe and
interpret numerous phenomena in many scientific fields including atomic and molecular …