{"paper":{"title":"Manifestation of Superposition and Coherence in $\\cal PT$-symmetry through the $\\eta$-inner Product","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Junde Wu, Minyi Huang, Ray-Kuang Lee","submitted_at":"2018-01-31T02:09:08Z","abstract_excerpt":"Through the $\\eta$-inner product, we investigate $\\cal PT$-symmetric quantum mechanics from the viewpoint of superposition and coherence theory. It is argued that $\\cal PT$-symmetric quantum systems are endowed with stationary superposition or superposition-free properties. A physical interpretation of $\\eta$-inner product in $\\mathbb C^2$ is given through the Stokes parameters, showing the difference between broken and unbroken $\\cal PT$-symmetric quantum systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.00480","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"}