This record has versions v1, v2, v3. This is version v1.

Recommended by

Indexed by

Testing Koopmans spectral functionals on the analytically-solvable Hooke's atom

Yannick Schubert1,2*, Nicola Marzari3,4, Edward Linscott3*

1 Department of Physics, Eidgenössische Technische Hochschule Zürich, 8092 Zurich, Switzerland,

2 Now at: Department of Chemistry, University of Zurich, 8057 Zurich, Switzerland

3 Theory and Simulations of Materials (THEOS), École polytechnique fédérale de Lausanne, 1015 Lausanne, Switzerland

4 National Centre for Computational Design and Discovery of Novel Materials (MARVEL), École polytechnique fédérale de Lausanne, 1015 Lausanne, Switzerland

* Corresponding authors emails:,
DOI10.24435/materialscloud:86-bg [version v1]

Publication date: Dec 13, 2022

How to cite this record

Yannick Schubert, Nicola Marzari, Edward Linscott, Testing Koopmans spectral functionals on the analytically-solvable Hooke's atom, Materials Cloud Archive 2022.172 (2022), doi: 10.24435/materialscloud:86-bg.


Koopmans spectral functionals are a class of orbital-density-dependent functionals designed to accurately predict spectroscopic properties. They do so markedly better than their Kohn-Sham density-functional theory counterparts, as demonstrated in earlier works on benchmarks of molecules and bulk systems. This work is a complementary study where — instead of comparing against real, many-electron systems — we test Koopmans spectral functionals on Hooke's atom, a toy two-electron system that has an analytical solution. As these calculations clearly illustrate, Koopmans spectral functionals do an excellent job of describing Hooke's atom. This work also provides broader insight into the features and capabilities of Koopmans spectral functionals more generally. This repository contains data associated with the article of the same name.

Materials Cloud sections using this data

No Explore or Discover sections associated with this archive record.


File name Size Description
6.6 MiB This repository contains input files, output files and scripts for reproducing the results of the article of the same name.


Files and data are licensed under the terms of the following license: Creative Commons Attribution 4.0 International.
Metadata, except for email addresses, are licensed under the Creative Commons Attribution Share-Alike 4.0 International license.

External references

Preprint (Preprint where the data is discussed)
Y. Schubert, N. Marzari, E. Linscott, arXiv (2022) (in preparation)


Hooke's atom Koopmans spectral functionals Orbital-density dependent functionals Electronic structure