dorsal/arxiv
View SchemaThe conversion of nonlocal one-body operators into local ones: The Slater potential revisited
| Authors | James P. Finley |
|---|---|
| Categories | |
| ArXiv ID | physics/0407107 |
| URL | https://arxiv.org/abs/physics/0407107 |
Abstract
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.
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"date_modified": "2026-03-02T18:00:49.846000Z",
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"abstract": "One-particle Schrodinger equations are considered, e.g., the Hartree--Fock\nequations, that contain a nonlocal operator, e.g., the Hartree--Fock exchange\noperator, where this operator depends on the one-particle density-matrix of a\ndeterminantal state. One-body nonlocal operators of this type are converted\ninto approximate local potentials that depend on the kernel of the nonlocal\noperator and, also, the one-particle density matrix that, as mentioned above,\nthe nonlocal operator also depends on. When the non-local operator is the\nexchange operator, the method yields the Slater potential.",
"arxiv_id": "physics/0407107",
"authors": [
"James P. Finley"
],
"categories": [
"physics.chem-ph",
"physics.atom-ph"
],
"title": "The conversion of nonlocal one-body operators into local ones: The Slater potential revisited",
"url": "https://arxiv.org/abs/physics/0407107"
},
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"variant": "snapshot-2026-03-01",
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