Dirac-Coulomb Hamiltonian in N-Electron Model Spaces

Abstract

Relations between matrices representing non-relativistic and relativistic N-electron Hamiltonians in N-electron model spaces are analyzed. The model spaces are defined as the antisymmetric parts of products of the N-th Kronecker power of either a two-dimensional (the non-relativistic case) or four-dimensional (the relativistic case) spinor space and of an orbital (or configurational) space. The explicit relation between the matrices corresponding to the relativistic and non-relativistic cases is derived and its practical implications are briefly discussed.