{"paper":{"title":"Discrete Symmetry in Relativistic Quantum Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Guang-Jiong Ni, Jianjun Xu, Suqing Chen","submitted_at":"2013-10-14T01:31:48Z","abstract_excerpt":"EPR experiment on $K^0-\\bar{K}^0$ system in 1998\\cite{1} strongly hints that one should use operators $\\hat{E}_c=-i\\hbar\\frac{\\partial}{\\partial t}$ and $\\hat{\\bf p}_c=i\\hbar\\nabla$ for the wavefunction (WF) of antiparticle. Further analysis on Klein-Gordon (KG) equation reveals that there is a discrete symmetry hiding in relativistic quantum mechanics (RQM) that ${\\cal P}{\\cal T}={\\cal C}$. Here ${\\cal P}{\\cal T}$ means the (newly defined) combined space-time inversion (with ${\\bf x}\\to -{\\bf x}, t\\to-t$), while ${\\cal C}$ the transformation of WF $\\psi$ between particle and its antiparticle "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.3539","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"}