We construct an analytic truly nonlinear representation of the Poincar~ group having as its linear part the mass zero, helicity -89 (+ 89 unitary representation.
An analytic nonlinear representation of the Poincaré group
✍ Scribed by G. Rideau
- Publisher
- Springer
- Year
- 1985
- Tongue
- English
- Weight
- 424 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0377-9017
No coin nor oath required. For personal study only.
✦ Synopsis
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 unitary linear representation.
📜 SIMILAR VOLUMES
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 resonanc
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