{"paper":{"title":"A Mathematical Justification for the Herman-Kluk Propagator","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Torben Swart, Vidian Rousse","submitted_at":"2007-12-05T16:24:53Z","abstract_excerpt":"A class of Fourier Integral Operators which converge to the unitary group of the Schroedinger equation in semiclassical limit $\\eps\\to 0$ is constructed. The convergence is in the uniform operator norm and allows for an error bound of order $O(\\eps^{1-\\rho})$ for Ehrenfest timescales, where $\\rho$ can be made arbitrary small. For the shorter times of order O(1), the error can be improved to arbitrary order in $\\eps$. In the chemical literature the approximation is known as the Herman-Kluk propagator."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.0752","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"}