{"paper":{"title":"Convergence of Scaled Delta Expansion: Anharmonic Oscillator","license":"","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Hiroshi Suzuki, Kenichi Konishi, Riccardo Guida","submitted_at":"1994-07-05T14:42:29Z","abstract_excerpt":"We prove that the linear delta expansion for energy eigenvalues of the quantum mechanical anharmonic oscillator converges to the exact answer if the order dependent trial frequency $\\Omega$ is chosen to scale with the order as $\\Omega=CN^\\gamma$; $1/3<\\gamma<1/2$, $C>0$ as $N\\rightarrow\\infty$. It converges also for $\\gamma=1/3$, if $C\\geq\\alpha_c g^{1/3}$, $\\alpha_c\\simeq 0.570875$, where $g$ is the coupling constant in front of the operator $q^4/4$. The extreme case with $\\gamma=1/3$, $C=\\alpha_cg^{1/3}$ corresponds to the choice discussed earlier by Seznec and Zinn-Justin and, more recently"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9407027","kind":"arxiv","version":1},"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"}