The original solutions of the Schrodinger relativistic equation and the Dirac equation for hydrogen-like atoms were analyzed for the possible existence of some other electron levels, which were not originally derived. It was found that besides the known atomic levels, each atom should also have the deep Dirac levels (DDLs). The electron transition on such DDLs would produce large amounts of atomic energy (400 to 510 keV per transition depending on the Z of the atom). A possible explanation is given for the excess heat effect observed recently in the electrolysis of lithium or potassium ions, based on existing Dirac quantum theory. The same calculation technique is applied to atoms formed from elementary particles such as e−e+, µ+µ−, τ+τ−, e−µ+, e−τ+, µ−τ+, etc.