(4pe 0r 12), which prevents the electron 1 and electron 2 terms of the Hamiltonian in Eq. The total ground state energy of the helium atom Therefore, only interparticle coordinates r 1,r 2,r 12 are enough to describe the wave function for the ground Below we address both approximations with respect to the helium atom. The fact that para-helium energy levels lie slightly above corresponding ortho-helium levels is interesting because our original Hamiltonian does not depend on spin. Helium's first ionization energy is -24.587387936(25)eV. This atom is helium. Question: P8.2 (a) The Hamiltonian For The Helium Atom In Atomic Units Is: 2 H=-- 2 TV V 2 1 + 2 '12 2 (Eq. The Hamiltonian for helium-like systems is given by , expressed in atomic units , assuming infinite nuclear mass and neglecting relativistic corrections.. 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