Equation Hartree-Fock-Jucys

In this respect, the single-configurational Hartree-Fock method looks more promising and universal when combined with accounting for the relativistic effects in the framework of the Breit operator and for correlation effects by the superposition-of-configurations or by some other method (e.g. by solving the multi-configurational Hartree-Fock-Jucys equations (29.8), (29.9)). 

Expressions (29.8) and (29.9) are the Hartree-Fock equations in a multi-configurational approximation [222], or the Hartree-Fock-Jucys equations. They must be solved together with the equations... 

In this approach, for the main configuration (i = 1), the single-configuration Hartree-Fock equations, whereas for the admixed ones (i 1), the two-configurational equations dealing only with the functions of admixed configuration, must be solved. From the practical point of view, the process of solution of these equations is much easier than that of equations (29.8) and (29.9), without losing too much accuracy in the results. Formulas (29.12) and (29.13) are called the simplified Hartree-Fock-Jucys equations. Pecularities of their solution are discussed in [226]. 

Analysis of the properties of the transformed radial orbitals testify that these functions are a realistic practical alternative to the solutions of multiconfiguration (Hartree-Fock-Jucys) equations. Moreover, the generation of solutions using the code is fairly simple and not computer time consuming even for heavy atoms and ions. 

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