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Norm invariance of mass-zero equations under the conformal group

Journal Article · · Journal of Mathematical Physics (New York) (U.S.)
DOI:https://doi.org/10.1063/1.1704164· OSTI ID:4009378
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.
Research Organization:
Cornell Univ., Ithaca, N.Y.
NSA Number:
NSA-18-021032
OSTI ID:
4009378
Journal Information:
Journal of Mathematical Physics (New York) (U.S.), Journal Name: Journal of Mathematical Physics (New York) (U.S.) Vol. Vol: 5; ISSN JMAPA
Country of Publication:
Country unknown/Code not available
Language:
English

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