{"paper":{"title":"Thermal Fluctuations in Quantized Chaotic Systems","license":"","headline":"","cross_cats":["cond-mat","nlin.CD","quant-ph"],"primary_cat":"chao-dyn","authors_text":"Mark Srednicki","submitted_at":"1995-11-10T18:37:55Z","abstract_excerpt":"We consider a quantum system with $N$ degrees of freedom which is classically chaotic. When $N$ is large, and both $\\hbar$ and the quantum energy uncertainty $\\Delta E$ are small, quantum chaos theory can be used to demonstrate the following results: (1) given a generic observable $A$, the infinite time average $\\overline A$ of the quantum expectation value $<A(t)>$ is independent of all aspects of the initial state other than the total energy, and equal to an appropriate thermal average of $A$; (2) the time variations of $<A(t)> - \\overline A$ are too small to represent thermal fluctuations; "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"chao-dyn/9511001","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/chao-dyn/9511001/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}