Comparing many-body approaches against the helium atom exact solution
Over time, many different theories and approaches have been developed to tackle the many-body problem in quantum chemistry, condensed-matter physics, and nuclear physics. Here we use the helium atom, a real system rather than a model, and we use the exact solution of its Schr\"odinger equati...
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| Format: | Article |
| Language: | English |
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SciPost
2019-04-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.6.4.040 |
| _version_ | 1818510919683014656 |
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| author | Jing Li, N. D. Drummond, Peter Schuck, Valerio Olevano |
| author_facet | Jing Li, N. D. Drummond, Peter Schuck, Valerio Olevano |
| author_sort | Jing Li, N. D. Drummond, Peter Schuck, Valerio Olevano |
| collection | DOAJ |
| description | Over time, many different theories and approaches have been developed to
tackle the many-body problem in quantum chemistry, condensed-matter physics,
and nuclear physics. Here we use the helium atom, a real system rather than a
model, and we use the exact solution of its Schr\"odinger equation as a
benchmark for comparison between methods. We present new results beyond the
random-phase approximation (RPA) from a renormalized RPA (r-RPA) in the
framework of the self-consistent RPA (SCRPA) originally developed in nuclear
physics, and compare them with various other approaches like configuration
interaction (CI), quantum Monte Carlo (QMC), time-dependent density-functional
theory (TDDFT), and the Bethe-Salpeter equation on top of the GW approximation.
Most of the calculations are consistently done on the same footing, e.g. using
the same basis set, in an effort for a most faithful comparison between
methods. |
| first_indexed | 2024-12-10T23:26:35Z |
| format | Article |
| id | doaj.art-be8764045197457e89a776e2202c411e |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-12-10T23:26:35Z |
| publishDate | 2019-04-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-be8764045197457e89a776e2202c411e2022-12-22T01:29:34ZengSciPostSciPost Physics2542-46532019-04-016404010.21468/SciPostPhys.6.4.040Comparing many-body approaches against the helium atom exact solutionJing Li, N. D. Drummond, Peter Schuck, Valerio OlevanoOver time, many different theories and approaches have been developed to tackle the many-body problem in quantum chemistry, condensed-matter physics, and nuclear physics. Here we use the helium atom, a real system rather than a model, and we use the exact solution of its Schr\"odinger equation as a benchmark for comparison between methods. We present new results beyond the random-phase approximation (RPA) from a renormalized RPA (r-RPA) in the framework of the self-consistent RPA (SCRPA) originally developed in nuclear physics, and compare them with various other approaches like configuration interaction (CI), quantum Monte Carlo (QMC), time-dependent density-functional theory (TDDFT), and the Bethe-Salpeter equation on top of the GW approximation. Most of the calculations are consistently done on the same footing, e.g. using the same basis set, in an effort for a most faithful comparison between methods.https://scipost.org/SciPostPhys.6.4.040 |
| spellingShingle | Jing Li, N. D. Drummond, Peter Schuck, Valerio Olevano Comparing many-body approaches against the helium atom exact solution SciPost Physics |
| title | Comparing many-body approaches against the helium atom exact solution |
| title_full | Comparing many-body approaches against the helium atom exact solution |
| title_fullStr | Comparing many-body approaches against the helium atom exact solution |
| title_full_unstemmed | Comparing many-body approaches against the helium atom exact solution |
| title_short | Comparing many-body approaches against the helium atom exact solution |
| title_sort | comparing many body approaches against the helium atom exact solution |
| url | https://scipost.org/SciPostPhys.6.4.040 |
| work_keys_str_mv | AT jinglinddrummondpeterschuckvalerioolevano comparingmanybodyapproachesagainsttheheliumatomexactsolution |