An analysis of the states in the phase space : The energy level of quantum systems

The paper describes a possible approach to calculate the energy levels of simple quantum systems and many-electron atoms, where the Coulombian interaction is taken into account. In the particular case of hydrogen-like atoms, the results agree with those obtained through the well known procedures of calculation. In the case of many-electron atoms, a simple formula is derived to calculate the electron energy levels; the results are in good agreement with the experimental spectroscopic data for several elements