{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:HFC235S3GA3Z2OA4UC7JG27JJY","short_pith_number":"pith:HFC235S3","schema_version":"1.0","canonical_sha256":"3945adf65b30379d381ca0be936be94e2496156b29bd1532b129dc0a29a99347","source":{"kind":"arxiv","id":"1104.5695","version":2},"attestation_state":"computed","paper":{"title":"Rectangular Potentials in a Semi-Harmonic Background: Spectrum, Resonances and Dwell Time","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Nicol\\'as Fern\\'andez-Garc\\'ia, Oscar Rosas-Ortiz","submitted_at":"2011-04-29T18:44:13Z","abstract_excerpt":"We study the energy properties of a particle in one dimensional semi-harmonic rectangular wells and barriers. The integration of energies is obtained by solving a simple transcendental equation. Scattering states are shown to include cases in which the impinging particle is 'captured' by the semi-harmonic rectangular potentials. The 'time of capture' is connected with the dwell time of the scattered wave. Using the particle absorption method, it is shown that the dwell time $\\tau^a_D$ coincides with the phase time $\\tau_W$ of Eisenbud and Wigner, calculated as the energy derivative of the refl"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1104.5695","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2011-04-29T18:44:13Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"009883af50694cb39f796049f5ec4a9252ebbec73ee7637da32725cdab1623cd","abstract_canon_sha256":"e62087f4161b9a8b3c1f7c9b6dd679a690d5667b66a4f5ffa773b70950869f48"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:22:49.699573Z","signature_b64":"peBG7sHLGGODhN2VBIKAmR0cdOjMz2XX0y9806mJW/mc/wjcLNlJ7VfykNCBuGuYlkORH1JJHuGf0g1lA6vAAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3945adf65b30379d381ca0be936be94e2496156b29bd1532b129dc0a29a99347","last_reissued_at":"2026-05-18T04:22:49.698884Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:22:49.698884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rectangular Potentials in a Semi-Harmonic Background: Spectrum, Resonances and Dwell Time","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Nicol\\'as Fern\\'andez-Garc\\'ia, Oscar Rosas-Ortiz","submitted_at":"2011-04-29T18:44:13Z","abstract_excerpt":"We study the energy properties of a particle in one dimensional semi-harmonic rectangular wells and barriers. The integration of energies is obtained by solving a simple transcendental equation. Scattering states are shown to include cases in which the impinging particle is 'captured' by the semi-harmonic rectangular potentials. The 'time of capture' is connected with the dwell time of the scattered wave. Using the particle absorption method, it is shown that the dwell time $\\tau^a_D$ coincides with the phase time $\\tau_W$ of Eisenbud and Wigner, calculated as the energy derivative of the refl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.5695","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1104.5695","created_at":"2026-05-18T04:22:49.698995+00:00"},{"alias_kind":"arxiv_version","alias_value":"1104.5695v2","created_at":"2026-05-18T04:22:49.698995+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.5695","created_at":"2026-05-18T04:22:49.698995+00:00"},{"alias_kind":"pith_short_12","alias_value":"HFC235S3GA3Z","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_16","alias_value":"HFC235S3GA3Z2OA4","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_8","alias_value":"HFC235S3","created_at":"2026-05-18T12:26:30.835961+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HFC235S3GA3Z2OA4UC7JG27JJY","json":"https://pith.science/pith/HFC235S3GA3Z2OA4UC7JG27JJY.json","graph_json":"https://pith.science/api/pith-number/HFC235S3GA3Z2OA4UC7JG27JJY/graph.json","events_json":"https://pith.science/api/pith-number/HFC235S3GA3Z2OA4UC7JG27JJY/events.json","paper":"https://pith.science/paper/HFC235S3"},"agent_actions":{"view_html":"https://pith.science/pith/HFC235S3GA3Z2OA4UC7JG27JJY","download_json":"https://pith.science/pith/HFC235S3GA3Z2OA4UC7JG27JJY.json","view_paper":"https://pith.science/paper/HFC235S3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1104.5695&json=true","fetch_graph":"https://pith.science/api/pith-number/HFC235S3GA3Z2OA4UC7JG27JJY/graph.json","fetch_events":"https://pith.science/api/pith-number/HFC235S3GA3Z2OA4UC7JG27JJY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HFC235S3GA3Z2OA4UC7JG27JJY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HFC235S3GA3Z2OA4UC7JG27JJY/action/storage_attestation","attest_author":"https://pith.science/pith/HFC235S3GA3Z2OA4UC7JG27JJY/action/author_attestation","sign_citation":"https://pith.science/pith/HFC235S3GA3Z2OA4UC7JG27JJY/action/citation_signature","submit_replication":"https://pith.science/pith/HFC235S3GA3Z2OA4UC7JG27JJY/action/replication_record"}},"created_at":"2026-05-18T04:22:49.698995+00:00","updated_at":"2026-05-18T04:22:49.698995+00:00"}