{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:AYEBO43CYIJX3JZ3WRDOPQJMVF","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":"c910952065dae8ecf123c7f68cb05dfe5c2dd194e6ff64ba44676fef062aeef7","cross_cats_sorted":["physics.atom-ph","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-08-23T22:03:16Z","title_canon_sha256":"00e331e6060642cb3d063412baff12cf9f8a235bfbc62fde4ddf7d5e8ad24671"},"schema_version":"1.0","source":{"id":"1008.3929","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.3929","created_at":"2026-05-18T04:41:54Z"},{"alias_kind":"arxiv_version","alias_value":"1008.3929v1","created_at":"2026-05-18T04:41:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.3929","created_at":"2026-05-18T04:41:54Z"},{"alias_kind":"pith_short_12","alias_value":"AYEBO43CYIJX","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"AYEBO43CYIJX3JZ3","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"AYEBO43C","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:311f1bf4fd32484b4145d44fc6c42f6d60e1f559b474fc1fd25c09fe8ecea30a","target":"graph","created_at":"2026-05-18T04:41:54Z","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":"It is shown that general solutions of the free-particle Schroedinger equation can be mapped onto solutions of the Schroedinger equation for the harmonic oscillator. This is done in such a way that the time evolution of a free particle subjected to a sudden transition to a harmonic potential can be described by a simple coordinate transformation applied at the transition time. This procedure is computationally more efficient than either state-projection or propagator techniques. A concatenation of the map and its inverse allows us to map from one harmonic oscillator to another with a different ","authors_text":"Ole Steuernagel","cross_cats":["physics.atom-ph","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-08-23T22:03:16Z","title":"Equivalence between free and harmonically trapped quantum particles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.3929","kind":"arxiv","version":1},"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":"sha256:8fc326a31da6dce99bdc78ac49961528bd0b8298ae33c4f4ed5f1f2346e7fd27","target":"record","created_at":"2026-05-18T04:41:54Z","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":"c910952065dae8ecf123c7f68cb05dfe5c2dd194e6ff64ba44676fef062aeef7","cross_cats_sorted":["physics.atom-ph","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-08-23T22:03:16Z","title_canon_sha256":"00e331e6060642cb3d063412baff12cf9f8a235bfbc62fde4ddf7d5e8ad24671"},"schema_version":"1.0","source":{"id":"1008.3929","kind":"arxiv","version":1}},"canonical_sha256":"0608177362c2137da73bb446e7c12ca97887cbab3c61aaa07c5ee0b5403952d2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0608177362c2137da73bb446e7c12ca97887cbab3c61aaa07c5ee0b5403952d2","first_computed_at":"2026-05-18T04:41:54.486020Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:41:54.486020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1SjcVFCoo+JQfMPV4TCCy4UGEXVJCNYvVpDp2yTMCx/t3rxNHYvxHykCCulDUO/Wkv8ZLOgXqlsg0eUKx3phDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:41:54.486499Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.3929","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8fc326a31da6dce99bdc78ac49961528bd0b8298ae33c4f4ed5f1f2346e7fd27","sha256:311f1bf4fd32484b4145d44fc6c42f6d60e1f559b474fc1fd25c09fe8ecea30a"],"state_sha256":"3a8356cbbcd3a8587f0889cc210a76f297691eedcb8ee0f36573d3a1bb910373"}