The proton emission from ground-state spherical nuclei is investigated exac
tly through the numerical solution of the time-dependent Schrodinger equati
on for initial single-proton quasistationary states. Contrary to common bel
ief, it is shown that such calculations can be performed for any proton hal
f-life ranging from 10(-22)-20 s, the longest proton lifetime observed at p
resent. The important and careful choice of the initial metastable state is
clarified. Applied to the calculation of the decay width of several ground
-state spherical emitters, this method gives comparable results with the di
storted wave-Born approximation and therefore justifies its use.