{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:7WUKOH5DHJBJENCK6YAKIZKHYL","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"acc10a8db8e162cc5577d53a4de7bc9c2041ed8dd41b7433ef9e1c96ea0d2740","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-05-07T12:52:25Z","title_canon_sha256":"f74260f9b627b4215a7e1f812304360cb21830aee9a522ab0220a155c8d43f42"},"schema_version":"1.0","source":{"id":"1805.02484","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.02484","created_at":"2026-05-18T00:01:19Z"},{"alias_kind":"arxiv_version","alias_value":"1805.02484v2","created_at":"2026-05-18T00:01:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.02484","created_at":"2026-05-18T00:01:19Z"},{"alias_kind":"pith_short_12","alias_value":"7WUKOH5DHJBJ","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7WUKOH5DHJBJENCK","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7WUKOH5D","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:a5bd961c0cded459bba72b401ffce254663250593ecd8af5b754e1833b3b831e","target":"graph","created_at":"2026-05-18T00:01:19Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Gabriel Y. H. Avossevou, Lat\\'evi M. Lawson, Laure Gouba","cross_cats":["hep-th","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-05-07T12:52:25Z","title":"Lewis-Riesenfeld quantization and SU(1,1) coherent states for 2D damped harmonic oscillator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.02484","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:53c9da37a079bd85c7c26f694a7e52de2961c6783a270a3ef59adf4e8d9505a8","target":"record","created_at":"2026-05-18T00:01:19Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"acc10a8db8e162cc5577d53a4de7bc9c2041ed8dd41b7433ef9e1c96ea0d2740","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-05-07T12:52:25Z","title_canon_sha256":"f74260f9b627b4215a7e1f812304360cb21830aee9a522ab0220a155c8d43f42"},"schema_version":"1.0","source":{"id":"1805.02484","kind":"arxiv","version":2}},"canonical_sha256":"fda8a71fa33a4292344af600a46547c2eaffaa14498689a3cbec73de8ff7d655","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fda8a71fa33a4292344af600a46547c2eaffaa14498689a3cbec73de8ff7d655","first_computed_at":"2026-05-18T00:01:19.510616Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:19.510616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rucB2qULDE3qpAe5X+qItMNgKBWXNKbxCX/cfDFTEygdU1cjgkyywn9m3wIlyGVwmaYqMysWxMeJmnqhqr8yBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:19.511059Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.02484","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53c9da37a079bd85c7c26f694a7e52de2961c6783a270a3ef59adf4e8d9505a8","sha256:a5bd961c0cded459bba72b401ffce254663250593ecd8af5b754e1833b3b831e"],"state_sha256":"db77ba50a25488c9efbc3bbd2657317b72f2a0408d126fbafac0f8b6efa18ea3"}