English

Poincare group operators with 4-vector position

Quantum Physics 2007-05-23 v1

Abstract

We present a new set of massless Poincar\'e group operators Hermitian with respect to the 1/r 1 / r inner product space, which have quasi-plane wave energy-momentum eigenfunctions having velocity c 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,±12,±1... s = 0, \pm {1 \over 2}, \pm 1 ... The position vector r {\bf r} is the space part of a null 4-vector.

Cite

@article{arxiv.quant-ph/0401104,
  title  = {Poincare group operators with 4-vector position},
  author = {Shaun N Mosley},
  journal= {arXiv preprint arXiv:quant-ph/0401104},
  year   = {2007}
}

Comments

10 pages, no figures