{"paper":{"title":"The absolute definition of the phase-shift in potential scattering","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"K. Chadan, R. Kobayashi, T. Kobayashi","submitted_at":"2001-03-30T12:49:42Z","abstract_excerpt":"The variable phase approach to potential scattering with regular spherically symmetric potentials satisfying (\\ref{1e}), and studied by Calogero in his book$^{5}$, is revisited, and we show directly that it gives the absolute definition of the phase-shifts, i.e. the one which defines $\\delta_{\\ell}(k)$ as a continuous function of $k$ for all $k \\geq 0$, up to infinity, where $\\delta_{\\ell}(\\infty)=0$ is automatically satisfied. This removes the usual ambiguity $\\pm n \\pi$, $n$ integer, attached to the definition of the phase-shifts through the partial wave scattering amplitudes obtained from t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0103044","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"}