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We present a new analysis of the connection between the classicalconservation theorems and the role played by the Dirac matrices in order toobtain a four spinor version of the Dirac equation for the two electrons boundproblem. The separation of the set of equations in its angular and radial partsis done and an asymptotic solution for the radial system of equations isdiscussed for the ground state of the atom.

Derivation of a four-spinor Dirac-like equation for the helium atom and an approximate ground state solution