dorsal/arxiv
View SchemaTwo particle realisation of the Poincare group with interaction
| Authors | Shaun N Mosley |
|---|---|
| Categories | |
| ArXiv ID | physics/0510018 |
| URL | https://arxiv.org/abs/physics/0510018 |
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.
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"date_created": "2026-03-02T18:01:00.753000Z",
"date_modified": "2026-03-02T18:01:00.753000Z",
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"record": {
"abstract": "A relative position 4-vector is constructed for two spin-zero particles. Some\nadvantages of this relative position over Bakamjian-Thomas are pointed out. The\ncentre-of-mass (CM) and relative positions and momenta are an explicit\nrealisation of the so-called non-canonical covariant representation. The\nHamiltonian including potential terms is factorised into CM and relative\ncomponents, the latter is a Lorentz scalar readily evaluated in the CM rest\nframe when the relative position, momentum are canonical conjugates.",
"arxiv_id": "physics/0510018",
"authors": [
"Shaun N Mosley"
],
"categories": [
"physics.class-ph",
"hep-th",
"physics.gen-ph",
"quant-ph"
],
"title": "Two particle realisation of the Poincare group with interaction",
"url": "https://arxiv.org/abs/physics/0510018"
},
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