Pure-state $N$-representability in current-spin-density-functional theory
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2015
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912120602361856 |
|---|---|
| author | Gontier, David |
| author_facet | Gontier, David |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1501_02461 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Pure-state $N$-representability in current-spin-density-functional theory Gontier, David Quantum Physics Mathematical Physics 81Q65 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. |
| title | Pure-state $N$-representability in current-spin-density-functional theory |
| topic | Quantum Physics Mathematical Physics 81Q65 |
| url | https://arxiv.org/abs/1501.02461 |