{"paper":{"title":"Right sign of spin rotation operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex"],"primary_cat":"quant-ph","authors_text":"A.N. Livanov, D.K. Guriev, I.P. Yudin, R.A. Shindin","submitted_at":"2018-01-15T16:13:41Z","abstract_excerpt":"For the fermion transformation in the space all books of quantum mechanics propose to use the unitary operator $\\widehat{U}_{\\vec n}(\\varphi)=\\exp{(-i\\frac\\varphi2(\\widehat\\sigma\\cdot\\vec n))}$, where $\\varphi$ is angle of rotation around the axis $\\vec{n}$. But this operator turns the spin in inverse direction presenting the rotation to the left. The error of defining of $\\widehat{U}_{\\vec n}(\\varphi)$ action is caused because the spin supposed as simple vector which is independent from $\\widehat\\sigma$-operator a priori. In this work it is shown that each fermion marked by number $i$ has own"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.06129","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"}