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The perturbation method is applied to the Hartree-Fock equation to calculate the dipole polarizabilities, the results being a coupled set of integro-differential equations. This theory is applied to helium and makes clear the accuracy of the Sternheimer approximation. The calculated value of the polarizability by this theory is about ten per cent smaller than the value obtained by the Sternheimer approximation. For neon and argon calculations are made by use of the Sternheimer approximation. All the calculated values of the polarizabilities are compared with the values obtained by other authors and the experimental values. The calculated value for helium agrees quite well with the experimental one and for neon and argon the calculated values are about 1.5 times the experimental ones.
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Shobu Kaneko (1959) studied this question.
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