Norm Invariance of Mass-Zero Equations under the Conformal Group
- 1 May 1964
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 5 (5), 687-695
- https://doi.org/10.1063/1.1704164
Abstract
It is known that a suitable collection of solutions of the free‐field Maxwell's equations is a Hilbert space with respect to an appropriate norm, and that the inhomogeneous Lorentz group acts on this Hilbert space in a unitary and irreducible manner. It is shown that this representation extends to a unitary representation of the conformal group of Minkowski space. Similar results are obtained for other mass‐zero relativistic equations.Keywords
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