NON

One of the simplest example of non- ommutative (NC) spa es is the NC plane. In this arti le we investigate the onsequen es of the non- ommutativity to the quantum me hani s on a plane. We derive orre tions to the standard ( ommutative) Hamiltonian spe trum for hydrogen-like atom and isotropi linear harmoni os illator (LHO) and formulate the problem of the potential s attering on the NC plane. In the ase of LHO we onsider the non-ommutativity of the momentum operators, too.