dorsal/arxiv
View SchemaFirst Order Static Excitation Potential: Scheme for Excitation Energies and Transition Moments
| Authors | Joachim Brand, Lorenz S. Cederbaum |
|---|---|
| Categories | |
| ArXiv ID | physics/9710033 |
| URL | https://arxiv.org/abs/physics/9710033 |
| DOI | 10.1103/PhysRevA.57.4311 |
| Journal | Phys. Rev. A 57, 4311 (1998) |
Abstract
We present an approximation scheme for the calculation of the principal excitation energies and transition moments of finite many-body systems. The scheme is derived from a first order approximation to the self energy of a recently proposed extended particle-hole Green's function. A hermitian eigenvalue problem is encountered of the same size as the well-known Random Phase Approximation (RPA). We find that it yields a size consistent description of the excitation properties and removes an inconsistent treatment of the ground state correlation by the RPA. By presenting a hermitian eigenvalue problem the new scheme avoids the instabilities of the RPA and should be well suited for large scale numerical calculations. These and additional properties of the new approximation scheme are illuminated by a very simple exactly solvable model.
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"abstract": "We present an approximation scheme for the calculation of the principal\nexcitation energies and transition moments of finite many-body systems. The\nscheme is derived from a first order approximation to the self energy of a\nrecently proposed extended particle-hole Green\u0027s function. A hermitian\neigenvalue problem is encountered of the same size as the well-known Random\nPhase Approximation (RPA). We find that it yields a size consistent description\nof the excitation properties and removes an inconsistent treatment of the\nground state correlation by the RPA. By presenting a hermitian eigenvalue\nproblem the new scheme avoids the instabilities of the RPA and should be well\nsuited for large scale numerical calculations. These and additional properties\nof the new approximation scheme are illuminated by a very simple exactly\nsolvable model.",
"arxiv_id": "physics/9710033",
"authors": [
"Joachim Brand",
"Lorenz S. Cederbaum"
],
"categories": [
"physics.chem-ph",
"nucl-th",
"physics.atom-ph"
],
"doi": "10.1103/PhysRevA.57.4311",
"journal_ref": "Phys. Rev. A 57, 4311 (1998)",
"title": "First Order Static Excitation Potential: Scheme for Excitation Energies and Transition Moments",
"url": "https://arxiv.org/abs/physics/9710033"
},
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