2005/10/03 by Shaun N. Mosley, Shaun N Mosley, Mosley, Shaun N
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical Physics (physics.class-ph) #FOS: Physical sciences #General Physics (physics.gen-ph) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Physics (quant-ph) #Quantum and Classical Electrodynamics #hep-th #physics.class-ph #physics.gen-ph #quant-ph
paper · pdf · doi:10.48550/arxiv.physics/0510018
9 pages, no figures, plainTeX
arxiv created 2005/10/03 · openalex publication_date 2005/10/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.