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The representations of the Poincaré group as functions of the eigenvalues of casimir operators

✍ Scribed by K Szegő; K Tóth

Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
731 KB
Volume
71
Category
Article
ISSN
0003-4916

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✦ Synopsis

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 obtained X(2, C) basis functions and representations of a similar nature.

📜 SIMILAR VOLUMES

An analytic nonlinear representation of
An analytic nonlinear representation of the Poincaré group
✍ G. Rideau 📂 Article 📅 1985 🏛 Springer 🌐 English ⚖ 424 KB

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 Poincar
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✍ A. Bohm; H. Kaldass; S. Wickramasekara; P. Kielanowski 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 104 KB

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