TOWARDS CONSTRUCTING ONE-PARTICLE REPRESENTATIONS OF THE DEFORMED POINCARÉ ALGEBRA

DOI10.1142/S0217751X98000937zbMath0936.81011arXivq-alg/9703008OpenAlexW3103177816MaRDI QIDQ4259539

I. V. Yakushin

Publication date: 5 September 1999

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9703008

zbMATH Keywords

commuting operatorseigenstatesdiscrete energy spectrumquantum Poincaré algebraPoincaré algebratwo-parameter deformationdeformed Euclidean subalgebradeformed Lorentz subalgebramassive particle representations

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Cites Work

• \(q\)-deformed Poincaré algebra
• Representation theory of quantized Poincaré algebra. Tensor operators and their applications to one-particle systems
• A new ``null-plane quantum Poincaré algebra
• \(q\)-deformed relativistic one-particle states
• Two-Parameter Deformation of the Poincaré Algebra
• Lorentz transformations as Lie–Poisson symmetries
• Lie–Poisson deformation of the Poincaré algebra

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