{"paper":{"title":"Exact canonic eigenstates of the truncated Bogoliubov Hamiltonian in an interacting bosons gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Loris Ferrari","submitted_at":"2016-05-13T15:25:33Z","abstract_excerpt":"In a gas of $N$ weakly interacting bosons \\cite{Bogo1, Bogo2}, a truncated canonic Hamiltonian $\\widetilde{h}_c$ follows from dropping all the interaction terms between free bosons with momentum $\\hbar\\mathbf{k}\\ne\\mathbf{0}$. Bogoliubov Canonic Approximation (BCA) is a further manipulation, replacing the number \\emph{operator} $\\widetilde{N}_{in}$ of free particles in $\\mathbf{k}=\\mathbf{0}$, with the total number $N$ of bosons. BCA transforms $\\widetilde{h}_c$ into a different Hamiltonian $H_{BCA}=\\sum_{\\mathbf{k}\\ne\\mathbf{0}}\\epsilon(k)B^\\dagger_\\mathbf{k}B_\\mathbf{k}+const$, where $B^\\dag"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.04826","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"}