  Recently, the problem of the infinite spherical well was solved by the
group-theoretical method to resolve all the peculiarities in the currently
accepted solution [DOI: 10.13140/RG.2.2.18172.44162 (Researchgate, 2017)]. With
a view to further justifying the group-theoretical method, the problem is first
studied from the viewpoint of classical mechanics. Then the radial probability
densities predicted by classical mechanics are compared with those predicted
from solutions of the problem obtained by the group-theoretical method. The
comparisons clearly indicate the convergence of predictions of quantum
mechanics and classical mechanics in the limit of large eigen-energies.
Therefore, the group-theoretical method is justified as the right way to solve
the problem of the infinite spherical well.
