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A version of the Bethe-Salpeter equation appropriate for calculating recoilcorrections in highly charged hydrogenlike ions is presented. The nucleus istreated as a scalar particle of charge Z, and the electron treatedrelativistically. The known recoil corrections of order $m^2/M(Z\alpha)^4$ arederived in both this formalism and in NRQED

Recoil corrections in the hydrogen isoelectronic sequence