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math-ph2026
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…
math-ph2024
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…