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κ - Deformed Poincaré Algebra and Some Physical Consequences

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Symmetries in Science VI
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Abstract

The κ-deformed D = 4 Poincaré algebra is obtained by a special contraction of the real quantum Lie algebra U q (0(3,2)). We describe this contraction and study the consequences of the κ-deformation of the relativistic energy formula for the kinematics of scalar massless and massive particules. The notion of κ-relativistic energy region is defined. The κ-deformed quantized Klein-Gordon scalar field is introduced.

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Dedicated to L.C. Biedenharn, on the occasion of his 70th birthday

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Lukierski, J., Nowicki, A., Ruegg, H. (1993). κ - Deformed Poincaré Algebra and Some Physical Consequences. In: Gruber, B. (eds) Symmetries in Science VI. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1219-0_39

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  • DOI: https://doi.org/10.1007/978-1-4899-1219-0_39

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-1221-3

  • Online ISBN: 978-1-4899-1219-0

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