Published October 1981
| Version v1
Journal article
Conditions of existence and stability of the solution of singular Kirwood-Salzburg equations. Parts 1, 2
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
INIS
- Country of Publication
- Russian Federation
- Country of Input or Organization
- USSR
- INIS RN
- 13672660
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BANACH SPACE; BOLTZMANN STATISTICS; BOUNDARY CONDITIONS; DENSITY MATRIX; EUCLIDEAN SPACE; HARD-CORE POTENTIAL; INTEGRAL EQUATIONS; QUANTUM OPERATORS; STABILITY
- Descriptors DEC
- EQUATIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATRICES; NUCLEAR POTENTIAL; POTENTIALS; RIEMANN SPACE; SPACE
Optional Information
- Notes
- For English translation see the journal Theoretical and Mathematical Physics (USA).