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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2015
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1506.01737 |
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| _version_ | 1866915290135134208 |
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| author | Cancès, Eric Gontier, David Stoltz, Gabriel |
| author_facet | Cancès, Eric Gontier, David Stoltz, Gabriel |
| contents | This paper analyses the GW method for finite electronic systems. In a first step, we provide a mathematical framework for the usual one-body operators that appear naturally in many-body perturbation theory. We then discuss the GW equations which construct an approximation of the one-body Green's function, and give a rigorous mathematical formulation of these equations. Finally, we study the well-posedness of the GW0 equations, proving the existence of a unique solution to these equations in a perturbative regime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1506_01737 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | A mathematical analysis of the GW0 method for computing electronic excited energies of molecules Cancès, Eric Gontier, David Stoltz, Gabriel Mathematical Physics 81Q15, 81Q40, 47N60 This paper analyses the GW method for finite electronic systems. In a first step, we provide a mathematical framework for the usual one-body operators that appear naturally in many-body perturbation theory. We then discuss the GW equations which construct an approximation of the one-body Green's function, and give a rigorous mathematical formulation of these equations. Finally, we study the well-posedness of the GW0 equations, proving the existence of a unique solution to these equations in a perturbative regime. |
| title | A mathematical analysis of the GW0 method for computing electronic excited energies of molecules |
| topic | Mathematical Physics 81Q15, 81Q40, 47N60 |
| url | https://arxiv.org/abs/1506.01737 |