2004/07/20 by James P. Finley, Finley, James P.
Physics and Astronomy · #Atomic Physics (physics.atom-ph) #Chemical Physics (physics.chem-ph) #FOS: Physical sciences #physics.atom-ph #physics.chem-ph
paper · pdf · doi:10.48550/arxiv.physics/0407107
Added connection with the Slater potential that was overlooked in the previous version. 10 pages
arxiv created 2004/10/07 · arxiv updated 2009/12/01
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.