Journal article
Cluster properties in relativistic quantum mechanics of N-particle systems
Journal of mathematical physics, Vol.43(12), pp.6024-6063
12/01/2002
DOI: 10.1063/1.1516627
Abstract
A general technique is presented for constructing a quantum theory of a finite number of interacting particles satisfying Poincaré invariance, cluster separability, and the spectral condition. Irreducible representations and Clebsch–Gordan coefficients of the Poincaré group are the central elements of the construction. A different realization of the dynamics is obtained for each basis of an irreducible representation of the Poincaré group. Unitary operators that relate the different realizations of the dynamis are constructed. This technique is distinguished from other solutions [S. N. Sokolov, Dokl. Akad. Nauk USSR 233, 575 (1977); F. Coester and W. N. Polyzou, Phys. Rev. D 26, 1348 (1982)] of this problem because it does not depend on the kinematic subgroups of Dirac’s forms [P. A. M. Dirac, Rev. Mod. Phys. 21, 392 (1949)] of dynamics. Special basis choices lead to kinematic subgroups.
Details
- Title: Subtitle
- Cluster properties in relativistic quantum mechanics of N-particle systems
- Creators
- W. N Polyzou - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Journal of mathematical physics, Vol.43(12), pp.6024-6063
- DOI
- 10.1063/1.1516627
- ISSN
- 0022-2488
- eISSN
- 1089-7658
- Publisher
- AIP Publishing
- Language
- English
- Date published
- 12/01/2002
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984428784402771
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