Covariant wave functions with invariant helicity for massless particles |
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| Authors: | M T Simon M Seetharaman P M Mathews |
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| Affiliation: | (1) Department of Theoretical Physics, University of Madras, Madras-25, India;(2) Present address: Department of Physics, St. Thomas College, Kozhencherry, Kerala, India |
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| Abstract: | Considering a wave function for a massless particle, transforming according to an arbitrary irreducible representation (IR) of the homogeneous Lorentz group, we determine the basic conditions for to be an eigenfunction with a specified value of the helicity inall Lorentz frames. The method used is direct and elementary, requiring no knowledge of the IR's of the Poincaré group. It is shown that there existsno invariant helicity state in unitary representations of the Lorentz group, and one such state in any non-unitary representation (with one extra in special cases). |
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