  Following to the Weil method we generalize the Heisenberg-Robertson
uncertainty relation for arbitrary two operators. Consideration is made in
spherical coordinates, where the distant variable is restricted from one side,
. By this reason accounting of suitable boundary condition at the origin for
radial wave functions and operators is necessary. Therefore, there arise extra
surface terms in comparison with traditional approaches. These extra terms are
calculated for various solvable potentials and their influence is investigated.
At last, the time-energy uncertainty relations are also analysed. Some
differences between our approach and that, in which a direct product for
separate variances were considered are discussed.
