Binary Boosts

Details Binary Boosts Binary Boosts

1996-05-14

arxiv.org/abs/hep-ph/9605307v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

revtex, 10 pages, no figures The complete paper, including figures, is also available via anonymous ftp at ftp://www-ttp.physi

Scientific paper

The relativistic motion of an isolated two--body system (bound or unbound) of given lab energy $K^{0}$ in QED is separated into cms motion and relative motion. The relative motion equation ${\cal K}_{L} \psi_{L} ({\bf r}_{L} ) =0$ contains the momentum eigenvalue ${\bf K}$ of the cms motion. It is greatly simplified by a binary boost to the atomic rest frame, where $K^{0}$ 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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