5 papers · 1 filter
Unified Framework for Functional Theories of Quantum Systems
Chih-Chun Wang, Julia Liebert, Markus Penz +1
We introduce and study a unified framework for density-functional theory and its variants for quantum systems on finite-dimensional Hilbert spaces. These theories seek to reduce th…
v-Representability on a one-dimensional torus at elevated temperatures
Sarina M. Sutter, Markus Penz, Michael Ruggenthaler +2
We extend a previous result [Sutter et al., J. Phys. A: Math. Theor. 57, 475202 (2024)] to give an explicit form of the set of -representable densities on the one-dimensional to…
Density-functional theory for the Dicke Hamiltonian
Vebjørn H. Bakkestuen, Mihály A. Csirik, Andre Laestadius +1
A detailed analysis of density-functional theory for quantum-electrodynamical model systems is provided. In particular, the quantum Rabi model, the Dicke model, and a generalizatio…
Convergence of the regularized Kohn-Sham iteration in Banach spaces
Markus Penz, Andre Laestadius
The Kohn-Sham iteration of generalized density-functional theory on Banach spaces with Moreau-Yosida regularized universal Lieb functional and an adaptive damping step is shown to…
Solution of the v-representability problem on a one-dimensional torus
Sarina M. Sutter, Markus Penz, Michael Ruggenthaler +2
We provide a solution to the v-representability problem for a non-relativistic quantum many-particle system on a ring domain in terms of Sobolev spaces and their duals. Any one-par…