  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 Shannon entropy is the most adequate
uncertainty measure to quantify the electronic spreading and to mathematically
formalize the Heisenberg uncertainty principle, partially because it does not
depend on any specific point of their multidimensional domain of definition. In
this work the radial and angular parts of the Shannon entropies for all the
discrete stationary states of the multidimensional hydrogenic systems are
obtained from first principles; that is, they are given in terms of the states'
principal and magnetic hyperquantum numbers $(n,\mu_1,\mu_2,\ldots,\mu_{D-1})$,
the system's dimensionality $D$ and the nuclear charge $Z$ in an analytical,
compact form. Explicit expressions for the total Shannon entropies are given
for the quasi-spherical states, which conform a relevant class of specific
states of the $D$-dimensional hydrogenic system characterized by the
hyperquantum numbers $\mu_1=\mu_2\ldots=\mu_{D-1}=n-1$, including the ground
state.
