{"paper":{"title":"Highly accurate wavefunctions for two-electron systems using two parameteres","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.chem-ph"],"primary_cat":"physics.atom-ph","authors_text":"Manoj K. Harbola, Rabeet Singh Chauhan","submitted_at":"2015-06-02T15:06:46Z","abstract_excerpt":"It is shown for two electron atoms that ground-state wavefunctions of the form \\begin{equation}\n  \\Psi(\\vec{r_{1}}, \\vec{r_{2}})=\\phi(\\vec{r_{1}})\\phi(\\vec{r_{2}})(\\cosh ar_{1}+\\cosh ar_{2})(1+0.5 r_{12}e^{-b r_{12}}) \\end{equation} where $\\vec{r_{1}}$ and $\\vec{r_{2}}$ are the coordinates of two electrons and $r_{12}=|\\vec{r_{1}}-\\vec{r_{2}}|$, can be made highly accurate by optimizing $a$, $b$ and $\\phi$. This is done by solving a variationally derived equation for $\\phi$ for a given $a$ and $b$ and finding $a$ and $b$ so that the expectation value of the Hamiltonian is minimum. For the set "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.00912","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}