{"paper":{"title":"Unfolding spinor wavefunctions and expectation values of general operators: Introducing the unfolding-density operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Jonas Bj\\\"ork, Paulo V. C. Medeiros, Stepan S. Tsirkin, Sven Stafstr\\\"om","submitted_at":"2014-09-18T15:33:15Z","abstract_excerpt":"We show that the spectral weights $W_{m\\vec K}(\\vec k)$ used for the unfolding of two-component spinor eigenstates $| {\\psi_{m\\vec K}^\\mathrm{SC}} > = | \\alpha > | {\\psi_{m\\vec{K}}^\\mathrm{SC, \\alpha}} > + | \\beta > | {\\psi_{m\\vec{K}}^\\mathrm{SC, \\beta}} >$ can be decomposed as the sum of the partial spectral weights $W_{m\\vec{K}}^{\\mu}(\\vec k)$ calculated for each component $\\mu = \\alpha, \\beta$ independently, effortlessly turning a possibly complicated problem involving two coupled quantities into two independent problems of easy solution. Furthermore, we define the unfolding-density operato"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5343","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"}