Absence of ground states for anions
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910364505997312 |
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| author | Goto, Yukimi |
| author_facet | Goto, Yukimi |
| contents | We show that the $N$-electron Hamiltonian $H(N, Z)$ with the total nuclear charge $Z$ has no normalizable ground state if the ground state energy $E(N, Z)$ satisfies $E(N, Z)= E(N-1, Z)$ for $Z=N-1$. For anions $\mathrm{He}^-, \mathrm{Be}^-, \mathrm{N}^-, \mathrm{Ne}^-$, etc., many numerical results give strong evidence of the condition $E(N, Z)= E(N-1, Z)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_07642 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Absence of ground states for anions Goto, Yukimi Mathematical Physics Quantum Physics We show that the $N$-electron Hamiltonian $H(N, Z)$ with the total nuclear charge $Z$ has no normalizable ground state if the ground state energy $E(N, Z)$ satisfies $E(N, Z)= E(N-1, Z)$ for $Z=N-1$. For anions $\mathrm{He}^-, \mathrm{Be}^-, \mathrm{N}^-, \mathrm{Ne}^-$, etc., many numerical results give strong evidence of the condition $E(N, Z)= E(N-1, Z)$. |
| title | Absence of ground states for anions |
| topic | Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2403.07642 |