**Abstract: ** We introduce rotationally invariant analogue
of the space R^3_0 (= R^3 without the origin). On this space we
construct QM: Hilbert space of wave functions and important
physical operators (noncommutative coordinates, angular momentum,
Hamiltonian, velocity, ...). We analyze uncertainty relations
and summarize solution of the NC Coulomb problem (bound states
and scattering).