A remark about unitary representations of Lorentz group and an equation for zero mass particles

2002/10/29 by N. B. Skachkov, Skachkov, N. B.
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0210283

4 pages, latex

arxiv created 2002/10/29 · arxiv updated 2009/11/30

Abstract

In the present note the expansion of the wave function of a massless particle (with the definite value of its helicity) over the untary irreducible representaions of the Lorentz group (defined on the light cone) is used as for the analog of the Fourier transformation for deriving of an equation in the relativistic configuration representation.

Related

• Wave equation of massless particles of arbitrary helicity
• Quantum mechanics with non-unitary symmetries
• The unitary representations of the Poincare group in any spacetime\n dimension
• Bundle Structure of Massless Unitary Representations of the Poincaré Group
• Relativistic Wave Equations in the Helicity Basis