Many-particle correlations in an~$N$-particle system and many-particle scattering amplitudes
Teoretičeskaâ i matematičeskaâ fizika, Tome 35 (1978) no. 1, pp. 89-103
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The expansion of the energy of the symmetric ground state of a system of $N$ particles with respect to the density parameter is studied. The method of stationary phase in the multi-dimensional case is used to obtain estimates with respect to the density parameter of the Feynman diagrams of the perturbation theory series. The connection between the coefficients in the expansion of the energy in powers of the density and the many-particle Faddeev scattering amplitudes is established.
@article{TMF_1978_35_1_a9,
author = {B. E. Grinyuk and I. V. Simenog},
title = {Many-particle correlations in an~$N$-particle system and many-particle scattering amplitudes},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {89--103},
publisher = {mathdoc},
volume = {35},
number = {1},
year = {1978},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1978_35_1_a9/}
}
TY - JOUR AU - B. E. Grinyuk AU - I. V. Simenog TI - Many-particle correlations in an~$N$-particle system and many-particle scattering amplitudes JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1978 SP - 89 EP - 103 VL - 35 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1978_35_1_a9/ LA - ru ID - TMF_1978_35_1_a9 ER -
%0 Journal Article %A B. E. Grinyuk %A I. V. Simenog %T Many-particle correlations in an~$N$-particle system and many-particle scattering amplitudes %J Teoretičeskaâ i matematičeskaâ fizika %D 1978 %P 89-103 %V 35 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1978_35_1_a9/ %G ru %F TMF_1978_35_1_a9
B. E. Grinyuk; I. V. Simenog. Many-particle correlations in an~$N$-particle system and many-particle scattering amplitudes. Teoretičeskaâ i matematičeskaâ fizika, Tome 35 (1978) no. 1, pp. 89-103. http://geodesic.mathdoc.fr/item/TMF_1978_35_1_a9/