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Representations of the Poincaré Semigroup and Relativistic Causality

✍ Scribed by N. L. Harshman

Book ID
111586335
Publisher
Springer
Year
2003
Tongue
English
Weight
81 KB
Volume
42
Category
Article
ISSN
0020-7748

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📜 SIMILAR VOLUMES

Semigroup representations of the Poincar
Semigroup representations of the Poincaré group and relativistic Gamow vectors
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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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Time asymmetric quantum theory – III. Decaying states and the causal Poincaré semigroup
✍ A. Bohm; H. Kaldass; S. Wickramasekara 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 379 KB

## Abstract These Gamow kets span an irreducible representation space for Poincaré transformations which, similar to the Wigner representations for stable particles, are characterized by spin (angular momentum of the partial wave amplitude) and complex mass (position of the resonance pole). The Poi

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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