{"paper":{"title":"Spectral Analysis of the Dirac Polaron","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Itaru Sasaki","submitted_at":"2006-06-09T08:17:52Z","abstract_excerpt":"A system of a Dirac particle interacting with the radiation field is considered. The Hamiltonian of the system is defined by $H = \\alpha\\cdot(\\hat\\mathbf{p}-q\\mathbf{A}(\\hat\\mathbf{x}))+m\\beta + H_f$ where $q\\in\\mathbb{R}$ is a coupling constant, $\\mathbf{A}(\\hat\\mathbf{x})$ denotes the quantized vector potential and $H_f$ denotes the free photon Hamiltonian. Since the total momentum is conserved, $H$ is decomposed with respect to the total momentum with fiber Hamiltonian $H(\\mathbf{p}), (\\mathbf{p}\\in\\mathbb{R}^3)$. Since the self-adjoint operator $H(\\mathbf{p})$ is bounded from below, one ca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0606029","kind":"arxiv","version":6},"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"}