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arXiv · 1501.02461

Pure-state $N$-representability in current-spin-density-functional theory

David Gontier
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Abstract

This paper is concerned with the pure-state $N$-representability problem for systems under a magnetic field. Necessary and sufficient conditions are given for a spin-density $2 \times 2$ matrix $R$ to be representable by a Slater determinant. We also provide sufficient conditions on the paramagnetic current $\mathbb{j}$ for the pair $(R, \mathbb{j})$ to be Slater-representable in the case where the number of electrons $N$ is greater than 12. The case $N < 12$ is left open.

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David Gontier. 2015-01-11. Pure-state $N$-representability in current-spin-density-functional theory. https://doi.org/10.4310/cms.2016.v14.n4.a6

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