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Comparing many-body approaches against the helium atom exact solution

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Comparing many-body approaches against the helium atom exact solution. / Li, Jing; Drummond, Neil David; Schuck, Peter et al.
In: SciPost Physics, Vol. 6, No. 4, 040, 01.04.2019.

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Li J, Drummond ND, Schuck P, Olevano V. Comparing many-body approaches against the helium atom exact solution. SciPost Physics. 2019 Apr 1;6(4):040. doi: 10.21468/SciPostPhys.6.4.040

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Li, Jing ; Drummond, Neil David ; Schuck, Peter et al. / Comparing many-body approaches against the helium atom exact solution. In: SciPost Physics. 2019 ; Vol. 6, No. 4.

Bibtex

@article{eb998eab97f4447098310f65072f51d3,
title = "Comparing many-body approaches against the helium atom exact solution",
abstract = "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{\"o}dinger 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.",
author = "Jing Li and Drummond, {Neil David} and Peter Schuck and Valerio Olevano",
year = "2019",
month = apr,
day = "1",
doi = "10.21468/SciPostPhys.6.4.040",
language = "English",
volume = "6",
journal = "SciPost Physics",
issn = "2542-4653",
publisher = "SciPost Foundation",
number = "4",

}

RIS

TY - JOUR

T1 - Comparing many-body approaches against the helium atom exact solution

AU - Li, Jing

AU - Drummond, Neil David

AU - Schuck, Peter

AU - Olevano, Valerio

PY - 2019/4/1

Y1 - 2019/4/1

N2 - 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 Schrödinger 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.

AB - 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 Schrödinger 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.

U2 - 10.21468/SciPostPhys.6.4.040

DO - 10.21468/SciPostPhys.6.4.040

M3 - Journal article

VL - 6

JO - SciPost Physics

JF - SciPost Physics

SN - 2542-4653

IS - 4

M1 - 040

ER -