Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part II, Tome 63 (1976), pp. 95-131
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S. P. Merkur'ev. An $S$-matrix regularization of the trace formula for a three-particle system. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part II, Tome 63 (1976), pp. 95-131. http://geodesic.mathdoc.fr/item/ZNSL_1976_63_a3/
@article{ZNSL_1976_63_a3,
author = {S. P. Merkur'ev},
title = {An $S$-matrix regularization of the trace formula for a three-particle system},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {95--131},
year = {1976},
volume = {63},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1976_63_a3/}
}
TY - JOUR
AU - S. P. Merkur'ev
TI - An $S$-matrix regularization of the trace formula for a three-particle system
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1976
SP - 95
EP - 131
VL - 63
UR - http://geodesic.mathdoc.fr/item/ZNSL_1976_63_a3/
LA - ru
ID - ZNSL_1976_63_a3
ER -
%0 Journal Article
%A S. P. Merkur'ev
%T An $S$-matrix regularization of the trace formula for a three-particle system
%J Zapiski Nauchnykh Seminarov POMI
%D 1976
%P 95-131
%V 63
%U http://geodesic.mathdoc.fr/item/ZNSL_1976_63_a3/
%G ru
%F ZNSL_1976_63_a3
A regularized trace formula is derived which expresses the trace of the connected part of the resolvent for a three-particle system in terms of the scattering matrices for two- and three-particle systems. This relation allows us to express the third cluster integral for Boltzmann statistics in terms of $S$-matrices.
