Redetermination of the adiabatic basis in the three-body problem with the Coulomb interaction

An attempt has been made to redetermine the adiabatic basis in the three-body problem which interact in accordance with Coulomb law by introducing a part of adiabatic corrections into the Hamiltonian of two-center problem. In this basis the dissociation limit of the corresponding molecule (energy of isolated atom) is expressed by the one-state approximation. This is important for the setting up of boundary conditions for the Schroedinger equation. The coupling energy is calculated in the one-state approximation for eee+ and ppμ- molecules. The comparison with analogous calculations in the classical approach are presented