@misc{10481/69310,
year = {2021},
month = {5},
url = {http://hdl.handle.net/10481/69310},
abstract = {The spreading of the stationary states of the multidimensional single-particle systems with a central potential is quantified by means of Heisenberg-like measures (radial and logarithmic expectation values) and entropy-like quantities (Fisher, Shannon, Renyi) of position and momentum probability densities. Since the potential is assumed to be analytically unknown, these dispersion and information-theoretical measures are given by means of inequality-type relations which are explicitly shown to depend on dimensionality and state's angular hyperquantum numbers. The spherical-symmetry and spin effects on these spreading properties are obtained by use of various integral inequalities (Daubechies-Thakkar, Lieb-Thirring, Redheffer-Weyl, ...) and a variational approach based on the extremization of entropy-like measures. Emphasis is placed on the uncertainty relations, upon which the essential reason of the probabilistic theory of quantum systems relies.},
organization = {Agencia Estatal de Investigacion (Spain) 

FIS2017-89349P},
organization = {European Commission

FIS2017-89349P},
organization = {Agencia de Innovacion y Desarrollo de Andalucia 

FQM-207},
publisher = {MDPI},
keywords = {Central potentials},
keywords = {Uncertainty relations},
keywords = {Integral inequalities},
keywords = {Heisenberg-like uncertainty measures},
keywords = {Entropy-like measures},
keywords = {Fisher information},
keywords = {Shannon entropy},
keywords = {Rényi entropies},
title = {Spherical-Symmetry and Spin Effects on the Uncertainty Measures of Multidimensional Quantum Systems with Central Potentials},
doi = {10.3390/e23050607},
author = {Sánchez-Dehesa Moreno-Cid, Jesús},
}