{"paper":{"title":"Manifestly Covariant Approach to Bargmann-Wigner Fields (I): Generalized scalar products and Wigner states","license":"","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"quant-ph","authors_text":"Marek Czachor","submitted_at":"1996-01-16T09:23:27Z","abstract_excerpt":"Manifestly covariant formalism for Bargmann-Wigner fields is developed.\n It is shown that there exists some freedom in the choice of the form of the Bargmann-Wigner scalar product: The general product depends implicitly on a family of world-vectors. The standard choice of the product corresponds to timelike and equal vectors which define a ``time\" direction. The generalized form shows that formulas are simpler if one chooses {\\it null\\/} directions. This freedom is used to derive simple covariant formulas for momentum-space wave functions (generalized Wigner states) corresponding to arbitrary "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9601014","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"}