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

Shannon entropy (S), Rényi entropy (R), Tsallis entropy (T), Fisher information (I), and
Onicescu energy (E) have been explored extensively in both free H atom (FHA) and …

Using the Hartree–Fock non-relativistic wave functions in the position and momentum
spaces, the statistical measure of complexity C, due to López-Ruiz, Mancini, and Calbet for …

High dimensional atomic states play a relevant role in a broad range of quantum fields,
ranging from atomic and molecular physics to quantum technologies. The D-dimensional …

We present analytically the exact solutions of the Schrödinger equation in the N-dimensional
spaces for the pseudoharmonic oscillator potential by means of the ansatz method. The …

The analytic information theory of quantum systems includes the exact determination of their
spatial extension or multidimensional spreading in both position and momentum spaces by …

The inequality, with L being the grand orbital quantum number, and its conjugate relation for
(⟨ r 2⟩,⟨ p− 2⟩) are shown to be fulfilled in the D-dimensional central problem. Their use …

Fisher–Shannon (FS) and López-Ruiz, Mancini, and Calbet (LMC) complexity measures,
detecting not only randomness but also structure, are computed by using near Hartree–Fock …

The Fisher–Shannon and LMC shape complexities and the Shannon–disequilibrium, Fisher–
Shannon and Fisher–disequilibrium information planes, which consist of two localization …

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 …