{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:WKZLZO2UL4HQFITLGF3PHHKIQ7","short_pith_number":"pith:WKZLZO2U","schema_version":"1.0","canonical_sha256":"b2b2bcbb545f0f02a26b3176f39d4887cc724e3970ecbba9bf572ac1cd8de22c","source":{"kind":"arxiv","id":"hep-th/0210042","version":3},"attestation_state":"computed","paper":{"title":"Representations of noncommutative quantum mechanics and symmetries","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Larisa Jonke, Stjepan Meljanac (Rudjer Boskovic Institute)","submitted_at":"2002-10-04T12:40:44Z","abstract_excerpt":"We present a unified approach to representations of quantum mechanics on noncommutative spaces with general constant commutators of phase-space variables. We find two phases and duality relations among them in arbitrary dimensions. Conditions for physical equivalence of different representations of a given system are analysed. Symmetries and classification of phase spaces are discussed. Specially, the dynamical symmetry of a physical system is investigated. Finally, we apply our analyses to the two-dimesional harmonic oscillator and the Landau problem."},"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":"hep-th/0210042","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-10-04T12:40:44Z","cross_cats_sorted":[],"title_canon_sha256":"0a871b1559c7d28b98149089959865356dd8d4d8214e00516a9ad793d8c4ec96","abstract_canon_sha256":"c7d651d4b4c504f1deb90f02e1a1b51c7308308121ba7337e59ad4a03914be50"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:15:48.501277Z","signature_b64":"3jGGqzA+ISIZX1SyMuS4OMafKaTATwOnjPIZESiaOzleVg1ngK08oUUFLR7V6zFsiMDJs+qxUouCUiCY+OZgDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b2b2bcbb545f0f02a26b3176f39d4887cc724e3970ecbba9bf572ac1cd8de22c","last_reissued_at":"2026-05-18T04:15:48.500720Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:15:48.500720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Representations of noncommutative quantum mechanics and symmetries","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Larisa Jonke, Stjepan Meljanac (Rudjer Boskovic Institute)","submitted_at":"2002-10-04T12:40:44Z","abstract_excerpt":"We present a unified approach to representations of quantum mechanics on noncommutative spaces with general constant commutators of phase-space variables. We find two phases and duality relations among them in arbitrary dimensions. Conditions for physical equivalence of different representations of a given system are analysed. Symmetries and classification of phase spaces are discussed. Specially, the dynamical symmetry of a physical system is investigated. Finally, we apply our analyses to the two-dimesional harmonic oscillator and the Landau problem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0210042","kind":"arxiv","version":3},"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":"hep-th/0210042","created_at":"2026-05-18T04:15:48.500798+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0210042v3","created_at":"2026-05-18T04:15:48.500798+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0210042","created_at":"2026-05-18T04:15:48.500798+00:00"},{"alias_kind":"pith_short_12","alias_value":"WKZLZO2UL4HQ","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_16","alias_value":"WKZLZO2UL4HQFITL","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_8","alias_value":"WKZLZO2U","created_at":"2026-05-18T12:25:51.375804+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/WKZLZO2UL4HQFITLGF3PHHKIQ7","json":"https://pith.science/pith/WKZLZO2UL4HQFITLGF3PHHKIQ7.json","graph_json":"https://pith.science/api/pith-number/WKZLZO2UL4HQFITLGF3PHHKIQ7/graph.json","events_json":"https://pith.science/api/pith-number/WKZLZO2UL4HQFITLGF3PHHKIQ7/events.json","paper":"https://pith.science/paper/WKZLZO2U"},"agent_actions":{"view_html":"https://pith.science/pith/WKZLZO2UL4HQFITLGF3PHHKIQ7","download_json":"https://pith.science/pith/WKZLZO2UL4HQFITLGF3PHHKIQ7.json","view_paper":"https://pith.science/paper/WKZLZO2U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0210042&json=true","fetch_graph":"https://pith.science/api/pith-number/WKZLZO2UL4HQFITLGF3PHHKIQ7/graph.json","fetch_events":"https://pith.science/api/pith-number/WKZLZO2UL4HQFITLGF3PHHKIQ7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WKZLZO2UL4HQFITLGF3PHHKIQ7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WKZLZO2UL4HQFITLGF3PHHKIQ7/action/storage_attestation","attest_author":"https://pith.science/pith/WKZLZO2UL4HQFITLGF3PHHKIQ7/action/author_attestation","sign_citation":"https://pith.science/pith/WKZLZO2UL4HQFITLGF3PHHKIQ7/action/citation_signature","submit_replication":"https://pith.science/pith/WKZLZO2UL4HQFITLGF3PHHKIQ7/action/replication_record"}},"created_at":"2026-05-18T04:15:48.500798+00:00","updated_at":"2026-05-18T04:15:48.500798+00:00"}