Published October 1981 | Version v1
Journal article

Conditions of existence and stability of the solution of singular Kirwood-Salzburg equations. Parts 1, 2

  • 1. AN Ukrainskoj SSR, Kiev. Inst. Mekhaniki

Description

For continuous quantum systems subordinated to the Maxwell- Boltzmann statistics in terms of the canonical ensemble theory the existence of stable solutions of limiting operator Kirkwood- Salzburg equations in the case of singular hard-core type interactions potential zero boundary conditions and small densities has been proved. Similar to the regular case a strict mathematical grounds of equilibrium states of such systems on the basis of the canonical ensemble theory is obtained. The methods of Wiener continual measure integration are used

Additional details

Additional titles

Original title (Russian)
Об условиях существования и устойчивости решения сингулярных интегральных уравнений Кирквуда-Зальцбурга. Части 1, 2

Publishing Information

Journal Title
Teor. Mat. Fiz.
Journal Volume
49
Journal Issue
1
Series
Teor. Mat. Fiz.
Journal Page Range
63-76
ISSN
0564-6162

Optional Information

Notes
For English translation see the journal Theoretical and Mathematical Physics (USA).