Poincare group operators with 4-vector position

Details Poincare group operators with 4-vector position Poincare group operators with 4-vector position

2004-01-19

arxiv.org/abs/quant-ph/0401104v1

Physics

Quantum Physics

10 pages, no figures

Scientific paper

We present a new set of massless Poincar\'e 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 Poincar\'e 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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