Home > Research > Publications & Outputs > Comparing many-body approaches against the heli...

Associated organisational unit


Text available via DOI:

View graph of relations

Comparing many-body approaches against the helium atom exact solution

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Article number040
<mark>Journal publication date</mark>1/04/2019
<mark>Journal</mark>SciPost Physics
Issue number4
Number of pages37
Publication StatusPublished
<mark>Original language</mark>English


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.