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By the use of complete orthonormal sets of nonrelativistic scalar orbitalsintroduced by the author in previous papers the new complete orthonormal basissets for two-and four-component spinor wave functions, and Slater spinororbitals useful in the quantum-mechanical description of the spin - 1/2particles by the quasirelativistic and relativistic equations are establishedin position, momentum and four-dimensional spaces. These function sets areexpressed through the corresponding nonrelativistic orbitals. The analyticalformulas for overlap integrals over four component relativistic Slater spinororbitals with the same screening constants in position space are also derived.The relations obtained in this study can be useful in the study of differentproblems arising in the quasirelativistic and relativistic quantum mechanicswhen the position, momentum and four dimensional spaces are employed.

Combined theory of complete orthonormal sets of quasirelativistic and  relativistic sets of wave functions, and Slater orbitals of spin -1/2  particles in position, momentum and four dimensional spaces