q-deformed relativistic wave equations

DOI10.1063/1.530487zbMath0830.35140arXivhep-th/9310097OpenAlexW3105908045WikidataQ56340300 ScholiaQ56340300MaRDI QIDQ4314254

Mathias Pillin

Publication date: 7 December 1994

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9310097

zbMATH Keywords

symmetriesrepresentation theorywave operatorsone particle problem

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Invariance and symmetry properties for PDEs on manifolds (58J70) Special relativity (83A05) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items

Lie–Poisson deformation of the Poincaré algebra, Conservation laws for linear equations on braided linear spaces, Wave equations on \(q\)-Minkowski space, Generalized q-exponentials related to orthogonal quantum groups and Fourier transformations of noncommutative spaces, On the deformability of Heisenberg algebras, Free \(q\)-deformed relativistic wave equations by representation theory, Deformed field equations, Solutions of Klein-Gordon and Dirac equations on quantum Minkowski spaces, \(q\)-difference intertwining operators and \(q\)-conformal invariant equations, Separation of noncommutative differential calculus on quantum Minkowski space

Cites Work

• Quantum deformation of Lorentz group
• Representations of the quantum group \(SU_ q(2)\) and the little q-Jacobi polynomials
• Six generator \(q\)-deformed Lorentz algebra
• Finite dimensional representations of the quantum Lorentz group
• \(q\)-deformed Poincaré algebra
• New quantum Poincaré algebra and \(\kappa\)-deformed field theory
• \(q\)-deformed relativistic one-particle states
• A QUANTUM LORENTZ GROUP
• Zur Darstellungstheorie der inhomogenen Lorentzgruppe als Grundlage quantenmechanischer Kinematik
• On a Theory of Particles with Half-Integral Spin