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A new diagram technique for the Anderson model

Using the perturbation expansion in the rebonding interaction near the surface molecule limit, a new diagram technique for the Anderson model is proposed. The expression for the self-energy in the second order in the rebonding interaction is obtained. Approximate expressions for the self-energy beyond the second order are suggested. The quasiparticle spectrum for the finite-chain model is calculated and compared with the exact results and others in the literature.