caa a22 4500 465810764 CHVBK 20180323112115.0 cr unu---uuuuu 170327e19901101xx s 000 0 eng 10.1007/BF02820303 doi (NATIONALLICENCE)springer-10.1007/BF02820303 Yukalov V. Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, P.O. Box 79, Dubna, USSR aut Pseudopotential iteration of propagator equations [Elektronische Daten] [V. Yukalov] 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. Società Italiana di Fisica, 1990 PACS 11.90 - Other topics in general field and particle theory nationallicence PACS 21.65 - Nuclear matter nationallicence PACS 03.70 - Theory of quantized fields nationallicence Il Nuovo Cimento A (1965-1970) Società Italiana di Fisica 103/11(1990-11-01), 1577-1583 103:11<1577 1990 103 40763 https://doi.org/10.1007/BF02820303 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02820303 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Yukalov V. Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, P.O. Box 79, Dubna, USSR aut NATIONALLICENCE 773 0- Il Nuovo Cimento A (1965-1970) Società Italiana di Fisica 103/11(1990-11-01), 1577-1583 103:11<1577 1990 103 40763 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer