arXiv subjects

Shaun N Mosley

Publications and source records attributed to Shaun N Mosley.

2 recordsLinked to original sources

arXiv2005

Two particle realisation of the Poincare group with interaction

A relative position 4-vector is constructed for two spin-zero particles. Some advantages of this relative position over Bakamjian-Thomas are pointed out. The centre-of-mass (CM) and relative positions and momenta are an explicit realisation of the so-called non-canonical covariant representation. The Hamiltonian including potential terms is factorised into CM and relative components, the latter is a Lorentz scalar readily evaluated in the CM rest frame when the relative position, momentum are canonical conjugates.

physics.class-ph↗

arXiv2004

Poincare group operators with 4-vector position

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.

quant-ph↗