Jing Li, N. D. Drummond, Peter Schuck, Valerio Olevano
SciPost Phys. 6, 040 (2019) ·
published 1 April 2019

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Over time, many different theories and approaches have been developed to
tackle the manybody problem in quantum chemistry, condensedmatter 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
randomphase approximation (RPA) from a renormalized RPA (rRPA) in the
framework of the selfconsistent RPA (SCRPA) originally developed in nuclear
physics, and compare them with various other approaches like configuration
interaction (CI), quantum Monte Carlo (QMC), timedependent densityfunctional
theory (TDDFT), and the BetheSalpeter 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.
Dr Olevano: "In the following, if the journ..."
in Submission on Comparing manybody approaches against the helium atom exact solution by Jing Li, N. D. Drummond, Peter Schuck, Valerio Olevano