Covariant wave functions with invariant helicity for massless particles

Simon, M. T. ; Seetharaman, M. ; Mathews, P. M. (1972) Covariant wave functions with invariant helicity for massless particles International Journal of Theoretical Physics, 6 (5). pp. 399-406. ISSN 0020-7748

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Official URL: http://www.springerlink.com/content/hu5p86235672n4...

Related URL: http://dx.doi.org/10.1007/BF01258734

Abstract

Considering a wave function ψ for a massless particle, transforming according to an arbitrary irreducible representation (IR) of the homogeneous Lorentz group, we determine the basic conditions for ψ to be an eigenfunction with a specified value λ of the helicity inall Lorentz frames. The method used is direct and elementary, requiring no knowledge of the IR's of the Poincare 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).

Item Type:Article
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ID Code:20497
Deposited On:20 Nov 2010 14:25
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