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- W4385436663 abstract "We analyze relativistic quantum scattering in the Schrodinger picture. The suggestive requirement of translational invariance and conservation of the four-momentum, that the interacting Hamiltonian commute with the four-momentum $P$ of free particles, is shown to imply the absence of interactions. The relaxed requirement, that the interacting Hamiltonian $H'$ commute with the four-velocity $U= P/M$, $M=sqrt{P^2}$, allows Poincar'e covariant interactions just as in the nonrelativistic case. If the $S$-matrix is Lorentz invariant, it still commutes with the four-momentum $P$ though $H'$ does not. Shifted observers, whose translations are generated by the four-velocity $U$, just see a shifted superposition of near-mass-degenerate states with unchanged relative phases, while the four-momentum generates oscillated superpositions with changed relative phases." @default.
- W4385436663 created "2023-08-01" @default.
- W4385436663 creator A5072469679 @default.
- W4385436663 date "2023-07-28" @default.
- W4385436663 modified "2023-10-16" @default.
- W4385436663 title "Relativistic Covariance of Scattering" @default.
- W4385436663 doi "https://doi.org/10.48550/arxiv.2307.15426" @default.
- W4385436663 hasPublicationYear "2023" @default.
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