改进的QED中的相对论三费米子波方程和μ介子负态中的相对论效应
Relativistic Three-Fermion Wave Equations in Reformulated QED and Relativistic Effects in Muonium Minus
摘要：
本文用变分法，在重新表述的QED的哈密顿形式下，确定了三个任意质量的费米子电磁相互作用系统的相对论波动方程。方程的相互作用核实质上是最低阶不变的$\mathcal{M}$矩阵。利用近似变分三体波函数，用该方程得到了μ负离子（$μ^+ e^- e^-$）以及$\mathrm{Ps}^-$和$\mathrm{H}^-$的非相对论基态能级的相对论$O(α^2)$修正.结果进行了比较，与其他计算，在可用的。Mu $^-$的相对论修正为$-1.0773 \times 10^{-4}$ eV。
英文摘要：
The 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
