{"paper":{"title":"Re-examining Bogoliubov's theory of an interacting Bose gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","cond-mat.quant-gas"],"primary_cat":"cond-mat.stat-mech","authors_text":"A. M. Ettouhami","submitted_at":"2007-03-19T19:44:04Z","abstract_excerpt":"As is well-known, in the conventional formulation of Bogoliubov's theory of an interacting Bose gas, the Hamiltonian $\\hat{H}$ is written as a decoupled sum of contributions from different momenta of the form $\\hat{H} = \\sum_{k\\neq 0}\\hat{H}_{k}$. Then, each of the single-mode Hamiltonians $\\hat{H}_{k}$ is diagonalized separately, and the resulting ground state wavefunction of the total Hamiltonian $\\hat{H}$ is written as a simple product of the ground state wavefunctions of each of the single-mode Hamiltonians $\\hat{H}_{k}$. We argue that, from a number-conserving perspective, this diagonaliz"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0703498","kind":"arxiv","version":3},"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"}