Poincare group operators with 4-vector position

Shaun N Mosley

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Poincare group operators with 4-vector position

Shaun N Mosley

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Abstract

We present a new set of massless Poincaré group operators Hermitian with respect to the $ 1 / r $ inner product space, which have quasi-plane wave energy-momentum eigenfunctions having velocity $ c $ along their axis of propagation. These are constructed by means of a unitary transformation from a known set of massless Poincaré group operators of helicity $ s = 0, \pm {1 \over 2}, \pm 1 ... $ The position vector $ {\bf r} $ is the space part of a null 4-vector.

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Shaun N Mosley. 2004-01-19. Poincare group operators with 4-vector position. https://arxiv.org/abs/quant-ph/0401104

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