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Representation Theory of Quantized Poincaré Algebra: Tensor Operators and their Applications to One-Particle Systems

Published inLetters in Mathematical Physics, vol. 32, no. 2, p. 85-101
Publication date1994
Abstract

A representation theory of the quantized Poincaré (κ-Poincaré) algebra (QPA) is developed. We show that the representations of this algebra are closely connected with the representations of the nondeformed Poincaré algebra. A theory of tensor operators for QPA is considered in detail. Necessary and sufficient conditions are found in order for scalars to be invariants. Covariant components of the four-momenta and the Pauli-Lubanski vector are explicitly constructed. These results are used for the construction of someq-relativistic equations. The Wigner-Eckart theorem for QPA is proven.

Citation (ISO format)
RUEGG, Henri, TOLSTOY, V.N. Representation Theory of Quantized Poincaré Algebra: Tensor Operators and their Applications to One-Particle Systems. In: Letters in Mathematical Physics, 1994, vol. 32, n° 2, p. 85–101. doi: 10.1007/BF00739419
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ISSN of the journal0377-9017
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