A new method for theoretical calculation of atomic hyperfine structure

Schr\"odinger equation is a nonrelativistic wave equation, which does not have Lorentz invariance. Therefore, this has large theoretical error in the precise calculation of hydrogen-like system. So commonly used method Dirac-Hartree-Fock approximation atomic However, we found new eigen whose eigenvalue system approximates quantum electrodynamics. Hence, propose scheme for hyperfine structure based on and basic principle Hartree-Fock variational method, come to our conclusion through correlation excited single states hydrogen atom, U91+ ion, helium atom lithium as well comparison with NIST, that is, better improved model stationary equation. Meanwhile, list algorithms energy functional, two-electron coupling integral radial generalized appendix.