Two particle realisation of the Poincare group with interaction
Classical Physics
2007-05-23 v1 High Energy Physics - Theory
General Physics
Quantum Physics
Abstract
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.
Keywords
Cite
@article{arxiv.physics/0510018,
title = {Two particle realisation of the Poincare group with interaction},
author = {Shaun N Mosley},
journal= {arXiv preprint arXiv:physics/0510018},
year = {2007}
}
Comments
9 pages, no figures, plainTeX