Title: Shannon entropy: a study of confined hydrogenic-like atoms,
Abstract: The Shannon entropy in the atomic, molecular and chemical physics context is
presented by using as test cases the hydrogenic-like atoms $H_c$, ${He_c}^+$
and ${Li_c}^{2+}$ confined by an impenetrable spherical box. Novel expressions
for entropic uncertainty relation and Shannon entropies $S_r$ and $S_p$ are
proposed to ensure their physical dimensionless characteristic. The electronic
ground state energy and the quantities $S_r$, $S_p$ and $S_t$ are calculated
for the hydrogenic-like atoms to different confinement radii by using a
variational method. The global behavior of these quantities and different
conjectures are analyzed. The results are compared, when available, with those
previously published.