General relations between radial integrals in nonrelativistic and relativistic calculation schemes

Using the equivalent relativistic operator and the correspondence of its terms to the operators in the Breit-Pauli approximation the relativistic analogs for the integrals of Coulomb, spin-contact, spin-orbit, spin-spin and other interactions are obtained. They give the possibility to take into account not only direct but also indirect relativistic effects by performing the calculations of atomic structure with existing general programs in a nonrelativistic scheme with relativistic Breit-Pauli corrections. (C) 2003 American Institute of Physics.