On Gibbs quantum and classical particle systems with three-body forces

• Published in: Український математичний журнал
• Date: 2006
• Main Author: Skrypnik, W.I.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165144
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Gibbs quantum and classical particle systems with three-body forces / W.I. Skrypnik // Український математичний журнал. — 2006. — Т. 58, № 7. — С. 976–996. — Бібліогр.: 16 назв. — англ.

For equilibrium quantum and classical systems of particles interacting via ternary and pair (nonpositive) infinite-range potentials, a low activity convergent cluster expansion for their grand canonical reduced density matrices and correlation functions is constructed in the thermodynamic limit. Для...