The principles on which the two-particle convolution hyper-netted chain approximation of classical statistical mechanics is based, namely summation over a specified class of Yvon-Mayer diagrams and use of a variational principle, are used to derive a three-particle approximation. This approximation
One particle exchange model for low-energy scattering II. The many-channel problem: L. Banyai and V. Rittenberg. Institute of Physics of the Academy, Bucharest, Romania
- Publisher
- Elsevier Science
- Year
- 1968
- Tongue
- English
- Weight
- 82 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0003-4916
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โฆ Synopsis
The principles on which the two-particle convolution hyper-netted chain approximation of classical statistical mechanics is based, namely summation over a specified class of Yvon-Mayer diagrams and use of a variational principle, are used to derive a three-particle approximation. This approximation gives a symmetric three-particle correlation function and is applicable to a system with three-as well as two-particle interactions.
๐ SIMILAR VOLUMES
The procedure developed in the preceding paper to determine low energy scattering amplitudes in the one-channel case, is extended to the many-channel case. Methods of succesive approximations may be again formulated. Bootstrap equations are derived from self-consistency requirements, which may be in