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arXiv · hep-ph/9605307

Binary Boosts

R. Haeckl·V. Hund·H. Pilkuhn
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Abstract

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 ${\cal K}_{L} ψ_{L} ({\bf r}_{L} ) =0$ contains the momentum eigenvalue ${\bf K}$ of the cms motion. It is greatly simplified by a binary boost to the atomic rest frame, where $K^{0}$ 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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R. Haeckl, V. Hund, H. Pilkuhn. 1996-05-14. Binary Boosts. https://arxiv.org/abs/hep-ph/9605307

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