RELATIVISTIC QUANTUM MECHANICS OF N PARTICLE SYSTEMS WITH CLUSTER SEPARABLE INTERACTIONS
198415 pages
Published in:
- Phys.Rev.D 29 (1984) 2255-2269
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Abstract: (APS)
The question is analyzed how to describe a closed relativistic system formed by n particlelike constituents. It is proposed that to such a system there corresponds a unitary representation U of the Poincaré group being a function of n(n−1)2 potentials, one for each pair, such that cluster separability holds: If the constituents are grouped into k clusters and the potentials are set to zero between constituents belonging to different clusters, then U factorizes into a tensor product of k representations, any one of them describing a closed system associated with a particular cluster of constituents. An explicit and mathematically rigorous construction is given such that these properties hold.- QUANTUM MECHANICS: RELATIVISTIC
- MANY-BODY PROBLEM
- EXPANSION: CLUSTER
- GROUP THEORY: REPRESENTATION
- SYMMETRY: LORENTZ
- FUNCTIONAL ANALYSIS
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