Simple Realizations of the Infinitesimal Generators of the Proper Orthochronous Inhomogeneous Lorentz Group for Mass Zero
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Publication:3289744
DOI10.1063/1.1724240zbMath0104.44103OpenAlexW1977094781MaRDI QIDQ3289744
Publication date: 1962
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1724240
Related Items (24)
Unified Unitary Representation of the Poincaré Group for Particles of Zero and Positive Rest Mass ⋮ Reduction of Reducible Representations of the Poincaré Group to Standard Helicity Representations ⋮ Zero-Mass Representations of the Poincaré Group in an O(3, 1) Basis ⋮ Nuclearity of the differentiable vectors of continuous spin representations ⋮ The role of the irreducible representations of the Poincaré group in solving Maxwell’s equations ⋮ Conformal invariance of relativistic equations for arbitrary spin particles ⋮ The kinematics of the angular momentum of a particle ⋮ Representations of the Inhomogeneous Lorentz Group in Terms of an Angular Momentum Basis: Derivation for the Cases of Nonzero Mass and Zero Mass, Discrete Spin ⋮ Lie Algebraic Solution of Linear Differential Equations ⋮ Unitary Representations of the Homogeneous Lorentz Group in an O(1,1)⊗O(2) Basis and Some Applications to Relativistic Equations ⋮ On Representations of the Conformal Group Which When Restricted to Its Poincaré or Weyl Subgroups Remain Irreducible ⋮ The rough with the smooth of the light cone string ⋮ Complete orthonormal sets on the past light cone. I. Functions belonging to mass zero and helicity s ⋮ Helicity representations of the coordinate, momentum, and angular momentum operators ⋮ Particles with Zero Mass and Particles with "Small" Mass ⋮ The Representations of the Inhomogeneous Lorentz Group in Terms of an Angular Momentum Basis ⋮ Galilei Group and Nonrelativistic Quantum Mechanics ⋮ On timelike, lightlike, and spacelike realizations of Poincaré generators ⋮ First order deformations of Lie algebra representations, E(3) and Poincaré examples ⋮ Integration of the infinitesimal generators of the inhomogeneous Lorentz group and application to the transformation of the wave dunction ⋮ Clebsch-Gordan coefficients of the Lorentz group ⋮ Eight-dimensional spinor representation of the Poincaré group ⋮ Transformation from a Linear Momentum to an Angular Momentum Basis for Particles of Zero Mass and Finite Spin ⋮ ``Lorentz Basis of the Poincaré Group
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