Theory of projections with nonorthogonal basis sets: Partitioning techniques and effective Hamiltonians
Theory of projections with nonorthogonal basis sets: Partitioning techniques and effective Hamiltonians
Here we present a detailed account of the fundamental problems one encounters in projection theory when non-orthogonal basis sets are used for representation of the operators. In particular, we re-examine the use of projection operators in connection with the calculation of projected (or reduced) Green's functions and associated physical quantities …