  The quantum mechanical structure of Schwarzschild black hole is probed, in
the mini super spacetime, by means of a non-singular minimal uncertainty
Hartle-Hawking wave packet. The Compton width of the microstate probability
distribution is translated into a thermal Hawking broadening of the mass
spectrum. The statistical entropy is analytically calculated using the Fowler
prescription. While the exact Bekenstein-Hawking entropy is recovered at the
semi classical limit, the accompanying logarithmic tail gives rise to a Planck
size minimal entropy black wave packet.
