Binary Boosts

1996/05/14 by R. Haeckl, Haeckl, R., V. Hund +4
Engineering · Physics and Astronomy · #Atomic Physics (physics.atom-ph) #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle Accelerators and Free-Electron Lasers #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #atom-ph #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9605307

revtex, 10 pages, no figures The complete paper, including figures, is also available via anonymous ftp at ftp://www-ttp.physik.uni-karlsruhe.de/ or via www at http://www-ttp.physik.uni-karlsruhe.de/cgi-bin/preprints/

arxiv created 1996/05/14 · openalex publication_date 1996/05/14 · arxiv updated 2009/11/30 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

The relativistic motion of an isolated two--body system (bound or unbound) of given lab energy K⁰ in QED is separated into cms motion and relative motion. The relative motion equation \cal K_L ψ_L (\bf r_L ) =0 contains the momentum eigenvalue \bf K of the cms motion. It is greatly simplified by a binary boost to the atomic rest frame, where K⁰ and \bf K appear only in a Lorentz--invariant combination. This boost is not a product of single--particle boosts, which are useful only for perturbative interactions. CPT--invariance is demonstrated, and orthogonality relations are derived.

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