Solution of the υ-representability problem on a one-dimensional torus

Sutter, S. M.; Penz, M.; Ruggenthaler, M.; van Leeuwen, R.; Giesbertz, K. J. H.

doi:10.1088/1751-8121/ad8a2a

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Solution of the υ-representability problem on a one-dimensional torus

MPS-Authors

/persons/resource/persons225856

Penz, M.
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
Center for Free-Electron Laser Science;
Department of Computer Science, Oslo Metropolitan University;

/persons/resource/persons30964

Ruggenthaler, M.
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
Center for Free-Electron Laser Science;
The Hamburg Center for Ultrafast Imaging;

External Resource

https://arxiv.org/abs/2312.07225
(Preprint)

https://doi.org/10.1088/1751-8121/ad8a2a
(Publisher version)

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

2312.07225v2.pdf
(Preprint), 548KB

Supplementary Material (public)

There is no public supplementary material available

Citation

Sutter, S. M., Penz, M., Ruggenthaler, M., van Leeuwen, R., & Giesbertz, K. J. H. (2024). Solution of the υ-representability problem on a one-dimensional torus. Journal of Physics A, 57(47): 475202. doi:10.1088/1751-8121/ad8a2a.

Cite as: https://hdl.handle.net/21.11116/0000-0010-2283-3

Abstract

We provide a solution to the v-representability problem for a non-relativistic quantum many-particle system on a one-dimensional torus domain in terms of Sobolev spaces and their duals. Any one-particle density that is square-integrable, has a square-integrable weak derivative, and is gapped away from zero can be realized from the solution of a many-particle Schrödinger equation, with or without interactions, by choosing a corresponding external potential. This potential can contain a distributional contribution but still gives rise to a self-adjoint Hamiltonian. Importantly, this allows for a well-defined Kohn–Sham procedure but, on the other hand, invalidates the usual proof of the Hohenberg–Kohn theorem.