{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:7WUKOH5DHJBJENCK6YAKIZKHYL","short_pith_number":"pith:7WUKOH5D","schema_version":"1.0","canonical_sha256":"fda8a71fa33a4292344af600a46547c2eaffaa14498689a3cbec73de8ff7d655","source":{"kind":"arxiv","id":"1805.02484","version":2},"attestation_state":"computed","paper":{"title":"Lewis-Riesenfeld quantization and SU(1,1) coherent states for 2D damped harmonic oscillator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Gabriel Y. H. Avossevou, Lat\\'evi M. Lawson, Laure Gouba","submitted_at":"2018-05-07T12:52:25Z","abstract_excerpt":"In this paper we study a two-dimensional [2D] rotationally symmetric harmonic oscillator with time-dependent frictional force. At the classical level, we solve the equations of motion for a particular case of the time-dependent coefficient of friction. At the quantum level, we use the Lewis-Riesenfeld procedure of invariants to construct exact solutions for the corresponding time-dependent Schr\\\"{o}dinger equations. The eigenfunctions obtained are in terms of the generalized Laguerre polynomials. By mean of the solutions we verify a generalization version of the Heisenberg's uncertainty relati"},"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":"1805.02484","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-05-07T12:52:25Z","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"title_canon_sha256":"f74260f9b627b4215a7e1f812304360cb21830aee9a522ab0220a155c8d43f42","abstract_canon_sha256":"acc10a8db8e162cc5577d53a4de7bc9c2041ed8dd41b7433ef9e1c96ea0d2740"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:19.511059Z","signature_b64":"rucB2qULDE3qpAe5X+qItMNgKBWXNKbxCX/cfDFTEygdU1cjgkyywn9m3wIlyGVwmaYqMysWxMeJmnqhqr8yBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fda8a71fa33a4292344af600a46547c2eaffaa14498689a3cbec73de8ff7d655","last_reissued_at":"2026-05-18T00:01:19.510616Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:19.510616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lewis-Riesenfeld quantization and SU(1,1) coherent states for 2D damped harmonic oscillator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Gabriel Y. H. Avossevou, Lat\\'evi M. Lawson, Laure Gouba","submitted_at":"2018-05-07T12:52:25Z","abstract_excerpt":"In this paper we study a two-dimensional [2D] rotationally symmetric harmonic oscillator with time-dependent frictional force. At the classical level, we solve the equations of motion for a particular case of the time-dependent coefficient of friction. At the quantum level, we use the Lewis-Riesenfeld procedure of invariants to construct exact solutions for the corresponding time-dependent Schr\\\"{o}dinger equations. The eigenfunctions obtained are in terms of the generalized Laguerre polynomials. By mean of the solutions we verify a generalization version of the Heisenberg's uncertainty relati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.02484","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":"1805.02484","created_at":"2026-05-18T00:01:19.510677+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.02484v2","created_at":"2026-05-18T00:01:19.510677+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.02484","created_at":"2026-05-18T00:01:19.510677+00:00"},{"alias_kind":"pith_short_12","alias_value":"7WUKOH5DHJBJ","created_at":"2026-05-18T12:32:11.075285+00:00"},{"alias_kind":"pith_short_16","alias_value":"7WUKOH5DHJBJENCK","created_at":"2026-05-18T12:32:11.075285+00:00"},{"alias_kind":"pith_short_8","alias_value":"7WUKOH5D","created_at":"2026-05-18T12:32:11.075285+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/7WUKOH5DHJBJENCK6YAKIZKHYL","json":"https://pith.science/pith/7WUKOH5DHJBJENCK6YAKIZKHYL.json","graph_json":"https://pith.science/api/pith-number/7WUKOH5DHJBJENCK6YAKIZKHYL/graph.json","events_json":"https://pith.science/api/pith-number/7WUKOH5DHJBJENCK6YAKIZKHYL/events.json","paper":"https://pith.science/paper/7WUKOH5D"},"agent_actions":{"view_html":"https://pith.science/pith/7WUKOH5DHJBJENCK6YAKIZKHYL","download_json":"https://pith.science/pith/7WUKOH5DHJBJENCK6YAKIZKHYL.json","view_paper":"https://pith.science/paper/7WUKOH5D","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.02484&json=true","fetch_graph":"https://pith.science/api/pith-number/7WUKOH5DHJBJENCK6YAKIZKHYL/graph.json","fetch_events":"https://pith.science/api/pith-number/7WUKOH5DHJBJENCK6YAKIZKHYL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7WUKOH5DHJBJENCK6YAKIZKHYL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7WUKOH5DHJBJENCK6YAKIZKHYL/action/storage_attestation","attest_author":"https://pith.science/pith/7WUKOH5DHJBJENCK6YAKIZKHYL/action/author_attestation","sign_citation":"https://pith.science/pith/7WUKOH5DHJBJENCK6YAKIZKHYL/action/citation_signature","submit_replication":"https://pith.science/pith/7WUKOH5DHJBJENCK6YAKIZKHYL/action/replication_record"}},"created_at":"2026-05-18T00:01:19.510677+00:00","updated_at":"2026-05-18T00:01:19.510677+00:00"}