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Pseudopotential iteration of propagator equations

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Il Nuovo Cimento A (1965-1970)

Summary

A new iterative procedure for propagator equations describing systems with singular interactions is suggested. The standard perturbation theory for such systems beginning with the Hartree or Hartree-Fock approximations looses its sense because of the divergence of the corresponding approximate expressions for the mass operator. To define the latter a regular procedure containing no divergences is constructed. A new notion is introduced: that of the doubling function transforming the one-particle propagator to the two-particle one. The solution of the equation for this function makes the basis of the suggested approach. The divergences in all orders of an iterative procedure are eliminated owing to the multiplicative renormalization of the interaction potential by a smoothing function taking account of short-range correlations. As a result, the iterative approximations for the mass operator include solely the powers of the renormalized potential called, for brevity, the pseudopotential.

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Authors and Affiliations

  1. Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, P.O. Box 79, Dubna, USSR

    V. I. Yukalov

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  1. V. I. Yukalov
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Yukalov, V.I. Pseudopotential iteration of propagator equations. Nuov Cim A 103, 1577–1583 (1990). https://doi.org/10.1007/BF02820303

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  • DOI: https://doi.org/10.1007/BF02820303

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