599 citations · 3.5k across the 82 of their papers we have counts for
6 papers · 1 filter
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…
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…
One-body reduced density-matrix functional theory in finite basis sets at elevated temperatures
Klaas J. H. Giesbertz, Michael Ruggenthaler
In this review we provide a rigorous and self-contained presentation of one-body reduced density-matrix (1RDM) functional theory. We do so for the case of a finite basis set, where…
Functional differentiability in time-dependent quantum mechanics
Markus Penz, Michael Ruggenthaler
In this work we investigate the functional differentiability of the time-dependent many-body wave function and of derived quantities with respect to time-dependent potentials. For…
Domains of time-dependent density-potential mappings
Markus Penz, Michael Ruggenthaler
The key element in time-dependent density functional theory is the one-to-one correspondence between the one-particle density and the external potential. In most approaches this ma…
On the existence of effective potentials in time-dependent density functional theory
M. Ruggenthaler, M. Penz, D. Bauer
We investigate the existence and properties of effective potentials in time-dependent density functional theory. We outline conditions for a general solution of the corresponding S…