We prove in a constructive way the existence of an analytic nonlinear representation of the Poincar~ group in a Banach space, the linear part of which is the massless representation with helicity + 1 (or -1). Furthermore, this nonlinear representation is shown to be analytically unequivalent to any
Semigroup representations of the Poincaré group and relativistic Gamow vectors
✍ Scribed by A. Bohm; H. Kaldass; S. Wickramasekara; P. Kielanowski
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 104 KB
- Volume
- 264
- Category
- Article
- ISSN
- 0375-9601
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✦ Synopsis
describing quasistable states. In the relativistic domain this leads to Poincare semigroup representations which are í 2 characterized by spin j and by complex invariant mass square s s s s M y G . Relativistic Gamow kets have all the Ž . R R R 2 properties required to describe relativistic resonances and quasistable particles with resonance mass M and lifetime "rG . R R
📜 SIMILAR VOLUMES
ln this paper explicit basis functions are defined for the Poincark group. Both these functions and the representation matrix elements are continuous functions of the momentum variables for the whole real p2 spectrum, including the p2 = 0 point. The essence of our method is to enlarge previously obt