{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:A7JIXW7L5NXNOFZKDXUUOXFQIW","short_pith_number":"pith:A7JIXW7L","schema_version":"1.0","canonical_sha256":"07d28bdbebeb6ed7172a1de9475cb045831b38e7b8b6323e4dd633ab4aa50cd8","source":{"kind":"arxiv","id":"cond-mat/0106393","version":1},"attestation_state":"computed","paper":{"title":"Berry Phases of Classical Trajectories in the Presence of Hard-Wall Boundaries","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"Hsiu-Hau Lin, Tzay-Ming Hong","submitted_at":"2001-06-20T07:23:47Z","abstract_excerpt":"We study the quantum propagator in the semiclassical limit with hard-wall potentials. We show that, upon each reflection by the hard wall, a Berry phase $\\pi$ is accumulated and leads to interferences between different classical trajectories. Including the Berry phase caused by the hard walls, the modified Van Vleck's formula is derived. We also discuss the close relations among quantum statistics, discrete gauge symmetry, and hard-wall constraints. Most of all, we formulate a new quantization rule that applies to {\\it both} smooth and sharp boundary potentials. It provides an easy way to comp"},"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":"cond-mat/0106393","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"2001-06-20T07:23:47Z","cross_cats_sorted":[],"title_canon_sha256":"83cab486b706cffe0187b977080455c08b2d040909c5d69c01bb76c04ac2a122","abstract_canon_sha256":"ce7f16a873295f769626b777dde0ea1ceef6635b62148c9a14636e3ab4e82e72"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:07.144130Z","signature_b64":"rp1cyPhU9visFI/uWSwkhGJnQpeinzMFNJYNz3wbmo8Hs+x8LEVeET5e52SLB4cigrMsLhXUXkv32D8QzyfLAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07d28bdbebeb6ed7172a1de9475cb045831b38e7b8b6323e4dd633ab4aa50cd8","last_reissued_at":"2026-05-18T01:40:07.143619Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:07.143619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Berry Phases of Classical Trajectories in the Presence of Hard-Wall Boundaries","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"Hsiu-Hau Lin, Tzay-Ming Hong","submitted_at":"2001-06-20T07:23:47Z","abstract_excerpt":"We study the quantum propagator in the semiclassical limit with hard-wall potentials. We show that, upon each reflection by the hard wall, a Berry phase $\\pi$ is accumulated and leads to interferences between different classical trajectories. Including the Berry phase caused by the hard walls, the modified Van Vleck's formula is derived. We also discuss the close relations among quantum statistics, discrete gauge symmetry, and hard-wall constraints. Most of all, we formulate a new quantization rule that applies to {\\it both} smooth and sharp boundary potentials. It provides an easy way to comp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0106393","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":"cond-mat/0106393","created_at":"2026-05-18T01:40:07.143699+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0106393v1","created_at":"2026-05-18T01:40:07.143699+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0106393","created_at":"2026-05-18T01:40:07.143699+00:00"},{"alias_kind":"pith_short_12","alias_value":"A7JIXW7L5NXN","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_16","alias_value":"A7JIXW7L5NXNOFZK","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_8","alias_value":"A7JIXW7L","created_at":"2026-05-18T12:25:50.254431+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/A7JIXW7L5NXNOFZKDXUUOXFQIW","json":"https://pith.science/pith/A7JIXW7L5NXNOFZKDXUUOXFQIW.json","graph_json":"https://pith.science/api/pith-number/A7JIXW7L5NXNOFZKDXUUOXFQIW/graph.json","events_json":"https://pith.science/api/pith-number/A7JIXW7L5NXNOFZKDXUUOXFQIW/events.json","paper":"https://pith.science/paper/A7JIXW7L"},"agent_actions":{"view_html":"https://pith.science/pith/A7JIXW7L5NXNOFZKDXUUOXFQIW","download_json":"https://pith.science/pith/A7JIXW7L5NXNOFZKDXUUOXFQIW.json","view_paper":"https://pith.science/paper/A7JIXW7L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0106393&json=true","fetch_graph":"https://pith.science/api/pith-number/A7JIXW7L5NXNOFZKDXUUOXFQIW/graph.json","fetch_events":"https://pith.science/api/pith-number/A7JIXW7L5NXNOFZKDXUUOXFQIW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A7JIXW7L5NXNOFZKDXUUOXFQIW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A7JIXW7L5NXNOFZKDXUUOXFQIW/action/storage_attestation","attest_author":"https://pith.science/pith/A7JIXW7L5NXNOFZKDXUUOXFQIW/action/author_attestation","sign_citation":"https://pith.science/pith/A7JIXW7L5NXNOFZKDXUUOXFQIW/action/citation_signature","submit_replication":"https://pith.science/pith/A7JIXW7L5NXNOFZKDXUUOXFQIW/action/replication_record"}},"created_at":"2026-05-18T01:40:07.143699+00:00","updated_at":"2026-05-18T01:40:07.143699+00:00"}