  The problem of boundary behaviour at the origin of coordinates is discussed
for D-dimensional Schrodinger equation in the framework of hyper spherical
formalism, which have been often considered last time. We show that the
Dirichlet condition, which seems as natural, is not mathematically well
justified, on the contrary to the 3-dimensional case. The stronger argument in
favour of Dirichlet boundary condition is the requirement of time independence
of wave functions norm. The problem remains open for singular potentials.
