Journal article
Partition combinatorics and multiparticle scattering theory
Journal of mathematical physics, Vol.22(9), pp.1965-1982
09/1981
DOI: 10.1063/1.525143
Abstract
The recently developed combinatoric methods for handling partition‐labeled operators in N‐particle scattering theory are studied from an abstract point of view. The relation of these methods to approaches of the cluster/cumulant type in many areas of mathematical physics is pointed out. The concept of connectedness is defined abstractly and the mathematical structure of the partition lattice is considered in detail. Many of the useful results of combinatoric scattering theory are shown to be natural expressions of properties of the partition lattice. The conditions on these results can then be stated with precision. A number of new operator theorems are also obtained by means of applying simple extensions and analogs of the known properties of the partition lattice.
Details
- Title: Subtitle
- Partition combinatorics and multiparticle scattering theory
- Creators
- K. L. Kowalski - Case Western Reserve UniversityWayne N. Polyzou - University of Maryland, College ParkEdward F. Redish - University of Maryland, College Park
- Resource Type
- Journal article
- Publication Details
- Journal of mathematical physics, Vol.22(9), pp.1965-1982
- DOI
- 10.1063/1.525143
- ISSN
- 0022-2488
- eISSN
- 1089-7658
- Number of pages
- 18
- Language
- English
- Date published
- 09/1981
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984428766002771
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