Relativistic Three-Fermion Wave Equations in Reformulated QED and Relativistic Effects in Muonium Minus

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dc.creatorBarham, Mark
dc.creatorDarewych, Jurij W.
dc.date2007-06-20
dc.date.accessioned2026-07-07T08:11:23Z
dc.date.available2026-07-07T08:11:23Z
dc.descriptionThe variational method, within the Hamiltonian formalism of reformulated QED is used to determine relativistic wave equations for a system of three fermions of arbitrary mass interacting electromagnetically. The interaction kernels of the equations are, in essence, the invariant $\mathcal{M}$ matrices in lowest order. The equations are used to obtain relativistic $O(α^2)$ corrections to the non-relativistic ground state energy levels of the Muonium negative ion ($μ^+ e^- e^-$) as well as of $\mathrm{Ps}^-$ and $\mathrm{H}^-$, using approximate variational three-body wave functions. The results are compared with other calculations, where available. The relativistic correction for Mu$^-$ is found to be $-1.0773 \times 10^{-4}$ eV.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0706.3017
dc.identifierhttp://arxiv.org/abs/0706.3017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132103
dc.subjectAtomic Physics
dc.subjectChemical Physics
dc.titleRelativistic Three-Fermion Wave Equations in Reformulated QED and Relativistic Effects in Muonium Minus
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