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On the reduction of the regular representation of the Poincaré group

✍ Scribed by G. Rideau

Publisher
Springer
Year
1966
Tongue
English
Weight
453 KB
Volume
3
Category
Article
ISSN
0010-3616

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📜 SIMILAR VOLUMES

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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

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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

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✍ K Szegő; K Tóth 📂 Article 📅 1972 🏛 Elsevier Science 🌐 English ⚖ 731 KB

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