{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:4SYYSOF6H7TDHFE2ND7RFPC56C","short_pith_number":"pith:4SYYSOF6","schema_version":"1.0","canonical_sha256":"e4b18938be3fe633949a68ff12bc5df0b4d1a8f4df4151a9a2450690cbd4d93c","source":{"kind":"arxiv","id":"1512.05704","version":1},"attestation_state":"computed","paper":{"title":"Spectral Analysis of a Model for Quantum Friction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.SP"],"primary_cat":"math-ph","authors_text":"Baptiste Schubnel, J\\'er\\'emy Faupin, Stephan De Bi\\`evre","submitted_at":"2015-12-17T18:13:32Z","abstract_excerpt":"An otherwise free classical particle moving through an extended spatially homogeneous medium with which it may exchange energy and momentum will undergo a frictional drag force in the direction opposite to its velocity with a magnitude which is typically proportional to a power of its speed. We study here the quantum equivalent of a classical Hamiltonian model for this friction phenomenon that was proposed in [11]. More precisely, we study the spectral properties of the quantum Hamiltonian and compare the quantum and classical situations. Under suitable conditions on the infrared behaviour of "},"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":"1512.05704","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-12-17T18:13:32Z","cross_cats_sorted":["math.MP","math.SP"],"title_canon_sha256":"eee0b558dac5629022721cccbcb5f1490ccd752d36c83fd635e8928294c88de9","abstract_canon_sha256":"5f33560529192d081db6660c6d923ba9d07effdd752e0b63897ba0b503ee35d5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:09.451806Z","signature_b64":"7RVKzl5IvXueOs/hkrR+ghHAHYRlu/GB5y0lNnHeyhssuuVRa0IdXzrJtNrjRPKDYpaKGeizAuEbnZhQdp2KBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e4b18938be3fe633949a68ff12bc5df0b4d1a8f4df4151a9a2450690cbd4d93c","last_reissued_at":"2026-05-18T01:24:09.451270Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:09.451270Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spectral Analysis of a Model for Quantum Friction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.SP"],"primary_cat":"math-ph","authors_text":"Baptiste Schubnel, J\\'er\\'emy Faupin, Stephan De Bi\\`evre","submitted_at":"2015-12-17T18:13:32Z","abstract_excerpt":"An otherwise free classical particle moving through an extended spatially homogeneous medium with which it may exchange energy and momentum will undergo a frictional drag force in the direction opposite to its velocity with a magnitude which is typically proportional to a power of its speed. We study here the quantum equivalent of a classical Hamiltonian model for this friction phenomenon that was proposed in [11]. More precisely, we study the spectral properties of the quantum Hamiltonian and compare the quantum and classical situations. Under suitable conditions on the infrared behaviour of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.05704","kind":"arxiv","version":1},"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":"1512.05704","created_at":"2026-05-18T01:24:09.451360+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.05704v1","created_at":"2026-05-18T01:24:09.451360+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.05704","created_at":"2026-05-18T01:24:09.451360+00:00"},{"alias_kind":"pith_short_12","alias_value":"4SYYSOF6H7TD","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_16","alias_value":"4SYYSOF6H7TDHFE2","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_8","alias_value":"4SYYSOF6","created_at":"2026-05-18T12:29:05.191682+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/4SYYSOF6H7TDHFE2ND7RFPC56C","json":"https://pith.science/pith/4SYYSOF6H7TDHFE2ND7RFPC56C.json","graph_json":"https://pith.science/api/pith-number/4SYYSOF6H7TDHFE2ND7RFPC56C/graph.json","events_json":"https://pith.science/api/pith-number/4SYYSOF6H7TDHFE2ND7RFPC56C/events.json","paper":"https://pith.science/paper/4SYYSOF6"},"agent_actions":{"view_html":"https://pith.science/pith/4SYYSOF6H7TDHFE2ND7RFPC56C","download_json":"https://pith.science/pith/4SYYSOF6H7TDHFE2ND7RFPC56C.json","view_paper":"https://pith.science/paper/4SYYSOF6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.05704&json=true","fetch_graph":"https://pith.science/api/pith-number/4SYYSOF6H7TDHFE2ND7RFPC56C/graph.json","fetch_events":"https://pith.science/api/pith-number/4SYYSOF6H7TDHFE2ND7RFPC56C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4SYYSOF6H7TDHFE2ND7RFPC56C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4SYYSOF6H7TDHFE2ND7RFPC56C/action/storage_attestation","attest_author":"https://pith.science/pith/4SYYSOF6H7TDHFE2ND7RFPC56C/action/author_attestation","sign_citation":"https://pith.science/pith/4SYYSOF6H7TDHFE2ND7RFPC56C/action/citation_signature","submit_replication":"https://pith.science/pith/4SYYSOF6H7TDHFE2ND7RFPC56C/action/replication_record"}},"created_at":"2026-05-18T01:24:09.451360+00:00","updated_at":"2026-05-18T01:24:09.451360+00:00"}