{"paper":{"title":"Ionization in damped time-harmonic fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP"],"primary_cat":"math-ph","authors_text":"M. Huang, O. Costin, Z. Qiu","submitted_at":"2009-01-06T21:41:43Z","abstract_excerpt":"We study the asymptotic behavior of the wave function in a simple one dimensional model of ionization by pulses, in which the time-dependent potential is of the form $V(x,t)=-2\\delta(x)(1-e^{-\\lambda t} \\cos\\omega t)$, where $\\delta$ is the Dirac distribution. We find the ionization probability in the limit $t\\to\\infty$ for all $\\lambda$ and $\\omega$. The long pulse limit is very singular, and, for $\\omega=0$, the survival probability is $const \\lambda^{1/3}$, much larger than $O(\\lambda)$, the one in the abrupt transition counterpart, $V(x,t)=\\delta(x)\\mathbf{1}_{\\{t\\ge 1/\\lambda\\}}$ where $\\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.0724","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"}