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The operator method is used to construct the solutions of the problem of thepolaron in the strong coupling limit and of the helium atom on the basis of theHartree-Fock equation. $E_0=-0.1085128052\alpha^2$ is obtained for the polaronground-state energy. Energies for 2s- and 3s-states are also calculated. Theother excited states are briefly discussed.Comment: 7 page

Operator method in solving non-linear equations of the Hartree-Fock type