{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:EUKP74YU4VGKS3BPCIEJPQDZEQ","short_pith_number":"pith:EUKP74YU","schema_version":"1.0","canonical_sha256":"2514fff314e54ca96c2f120897c079243af4ca09dac0b7a8efe36c1cf79832a9","source":{"kind":"arxiv","id":"1701.01317","version":2},"attestation_state":"computed","paper":{"title":"Effective Potentials Generated by Field Interaction in the Quasi-Classical Limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Marco Falconi, Michele Correggi","submitted_at":"2017-01-05T13:59:02Z","abstract_excerpt":"We study the {\\it quasi-classical limit} of a quantum system composed of finitely many non-relativistic particles coupled to a quantized field in Nelson-type models. We prove that, as the field becomes classical and the corresponding degrees of freedom are traced out, the effective Hamiltonian of the particles converges in resolvent sense to a self-adjoint Schr\\\"{o}dinger operator with an additional potential, depending on the state of the field. Moreover, we explicitly derive the expression of such a potential for a large class of field states and show that, for certain special sequences of s"},"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":"1701.01317","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-01-05T13:59:02Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"4a5b6c89d40b7b043ed800eaa0693b2a809b8fc9eb885acc6b2ce8b23e03b701","abstract_canon_sha256":"b443e5143446dc2b648b01ae7a9aeeaa7bf827fd680f2d6ff22863ff7269dc15"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:48.724329Z","signature_b64":"XEOzghM7JowLz9/WP/m4LUi9mIySoEVd4E8eN9m1Nhn2L0anB6yF5BVu/RZAY+ffbymySlTD/yBgMmdSH4J1Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2514fff314e54ca96c2f120897c079243af4ca09dac0b7a8efe36c1cf79832a9","last_reissued_at":"2026-05-18T00:08:48.723574Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:48.723574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Effective Potentials Generated by Field Interaction in the Quasi-Classical Limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Marco Falconi, Michele Correggi","submitted_at":"2017-01-05T13:59:02Z","abstract_excerpt":"We study the {\\it quasi-classical limit} of a quantum system composed of finitely many non-relativistic particles coupled to a quantized field in Nelson-type models. We prove that, as the field becomes classical and the corresponding degrees of freedom are traced out, the effective Hamiltonian of the particles converges in resolvent sense to a self-adjoint Schr\\\"{o}dinger operator with an additional potential, depending on the state of the field. Moreover, we explicitly derive the expression of such a potential for a large class of field states and show that, for certain special sequences of s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.01317","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":"1701.01317","created_at":"2026-05-18T00:08:48.723713+00:00"},{"alias_kind":"arxiv_version","alias_value":"1701.01317v2","created_at":"2026-05-18T00:08:48.723713+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.01317","created_at":"2026-05-18T00:08:48.723713+00:00"},{"alias_kind":"pith_short_12","alias_value":"EUKP74YU4VGK","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_16","alias_value":"EUKP74YU4VGKS3BP","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_8","alias_value":"EUKP74YU","created_at":"2026-05-18T12:31:12.930513+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/EUKP74YU4VGKS3BPCIEJPQDZEQ","json":"https://pith.science/pith/EUKP74YU4VGKS3BPCIEJPQDZEQ.json","graph_json":"https://pith.science/api/pith-number/EUKP74YU4VGKS3BPCIEJPQDZEQ/graph.json","events_json":"https://pith.science/api/pith-number/EUKP74YU4VGKS3BPCIEJPQDZEQ/events.json","paper":"https://pith.science/paper/EUKP74YU"},"agent_actions":{"view_html":"https://pith.science/pith/EUKP74YU4VGKS3BPCIEJPQDZEQ","download_json":"https://pith.science/pith/EUKP74YU4VGKS3BPCIEJPQDZEQ.json","view_paper":"https://pith.science/paper/EUKP74YU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1701.01317&json=true","fetch_graph":"https://pith.science/api/pith-number/EUKP74YU4VGKS3BPCIEJPQDZEQ/graph.json","fetch_events":"https://pith.science/api/pith-number/EUKP74YU4VGKS3BPCIEJPQDZEQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EUKP74YU4VGKS3BPCIEJPQDZEQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EUKP74YU4VGKS3BPCIEJPQDZEQ/action/storage_attestation","attest_author":"https://pith.science/pith/EUKP74YU4VGKS3BPCIEJPQDZEQ/action/author_attestation","sign_citation":"https://pith.science/pith/EUKP74YU4VGKS3BPCIEJPQDZEQ/action/citation_signature","submit_replication":"https://pith.science/pith/EUKP74YU4VGKS3BPCIEJPQDZEQ/action/replication_record"}},"created_at":"2026-05-18T00:08:48.723713+00:00","updated_at":"2026-05-18T00:08:48.723713+00:00"}