The conversion of nonlocal one-body operators into local ones: The Slater potential revisited
Abstract
Description
One-particle Schrodinger equations are considered, e.g., the Hartree--Fock equations, that contain a nonlocal operator, e.g., the Hartree--Fock exchange operator, where this operator depends on the one-particle density-matrix of a determinantal state. One-body nonlocal operators of this type are converted into approximate local potentials that depend on the kernel of the nonlocal operator and, also, the one-particle density matrix that, as mentioned above, the nonlocal operator also depends on. When the non-local operator is the exchange operator, the method yields the Slater potential.
Added connection with the Slater potential that was overlooked in the previous version. 10 pages
Added connection with the Slater potential that was overlooked in the previous version. 10 pages