We present a formulation of the Hamiltonian variational method for QED whichenables the derivation of relativistic few-fermion wave equation that canaccount, at least in principle, for interactions to any order of the couplingconstant. We derive a relativistic two-fermion wave equation using thisapproach. The interaction kernel of the equation is shown to be the generalizedinvariant M-matrix including all orders of Feynman diagrams. The result isobtained rigorously from the underlying QFT for arbitrary mass ratio of the twofermions. Our approach is based on three key points: a reformulation of QED,the variational method, and adiabatic hypothesis. As an application wecalculate the one-loop contribution of radiative corrections to the two-fermionbinding energy for singlet states with arbitrary principal quantum number $n$,and $l =J=0$. Our calculations are carried out in the explicitly covariantFeynman gauge.
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机译：我们提出了一种用于QED的哈密顿变分方法的公式，该公式使得能够推导相对论的少数费米子波动方程，该方程至少可以在原则上解释与耦合常数的任何阶次相互作用。利用这种方法，我们推导出了相对论的两费米波动方程。方程的相互作用核心显示为广义不变M矩阵，包括所有Feynman图的阶。对于两个费米子的任意质量比，可以从下面的QFT严格获得结果。我们的方法基于三个关键点：QED的重新表述，变分方法和绝热假设。作为一个应用，我们计算了具有任意主量子数$ n $和$ l = J = 0 $的单重态的辐射校正对两费米结合能的单环贡献。我们的计算在显式协变费曼量表中进行。
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