Rafael J. Yáñez

TL;DR: In this paper, the position and momentum-space entropies of the isotropic harmonic oscillator and the hydrogen atom in D dimensions were derived for Chebyshev polynomials and Gegenbauer polynomial integrals.

TL;DR: In this article, the authors explicitly discuss all these spreading measures and their associated uncertainty relations in both position and momentum for the main prototype in D-dimensional physics, the hydrogenic system, directly in terms of the dimensionality and the hyperquantum numbers which characterize the involved states.

TL;DR: The information entropies of the two-dimensional harmonic oscillator and the one-dimensional hydrogen atom can be expressed by means of some entropy integrals of Laguerre polynomials whose values have not yet been analyzed.

TL;DR: In this article, the spreading of the quantum-mechanical probability distribution density of D-dimensional hydrogenic orbitals is quantitatively determined by means of the local information-theoretic quantity of Fisher in both position and momentum spaces.

TL;DR: In this paper, the entanglement of the ground state and several singlet and triplet excited states of the helium atom was computed using high-quality, state-of-the-art wavefunctions.