{"paper":{"title":"Escape behaviour of a quantum particle in a loop coupled to a lead","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Ph. A. Jacquet","submitted_at":"2011-10-14T12:19:25Z","abstract_excerpt":"We consider a one-dimensional loop of circumference $L$ crossed by a constant magnetic flux $\\Phi$ and connected to an infinite lead with coupling parameter $\\epsilon$. Assuming that the initial state $\\psi_0$ of the particle is confined inside the loop and evolves freely, we analyse the time evolution of the nonescape probability $P(\\psi_0,L,\\Phi,\\epsilon,t)$, which is the probability that the particle will still be inside the loop at some later time $t$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.3186","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"}