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The single-electron wave function of the ground state of the helium atom is obtained from Hylleraas' well-known wave function by integrating the latter over the coordinates of one electron. The energy of the ground state calculated with this one-electron wave function is -5.717Rh, compared with the value -5.755 given by th self-consistant field solution.The single-electron wave function of the ground state of the helium atom is obtained from Hylleraas' well-known wave function by integrating the latter over the coordinates of one electron. The energy of the ground state calculated with this one-electron wave function is -5.717Rh, compared with the value -5.755 given by th self-consistant field solution.
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