  The quantum black hole model with a self-gravitating spherically symmetric
thin dust shell as a source is considered. The shell Hamiltonian constraint is
written and the corresponding Schroedinger equation is obtained. This equation
appeared to be a finite differences equation. Its solutions are required to be
analytic functions on the relevant Riemannian surface. The method of finding
discrete spectra is suggested based on the analytic properties of the
solutions. The large black hole approximation is considered and the discrete
spectra for bound states of quantum black holes and wormholes are found. They
depend on two quantum numbers and are, in fact, quasi-continuous. The quantum
black hole bound state depends not only on mass but also on additional quantum
number, and black holes with the same mass have different quantum hairs. These
hairs exhibit themselves at the Planckian distances near the black hole
horizon. For the observer who can not measure the distances smaller than the
Planckian length the black hole has the only parameter, its mass. The other,
non-measurable parameter leads to existence of the black hole entropy.
