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Abstract
A new procedure is presented which enables the development of perturbative expansions for the energies and transition amplitudes in systems described by nonorthogonal basis functions. The procedure is based upon defining a new metric matrix, that is, by redefining the quantum-mechanical scalar product. The results justify certain previous applications of the Schmidt orthogonalization method. It is shown that the same results can be obtained using Lowdin orthogonalization. While the procedure was developed for application with the correlated basis function (CBF) approach to dilute3He-4He solutions, it can be applied in any nonorthogonality situation.
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