{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:43F3RNEO5ET3YA6D6G3ODM4XFU","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":"f8f1334cebf1c6c06e772729c6e94ff2b3159ec4bdfb47bccf7d61bbcbdf132d","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-05-02T18:07:22Z","title_canon_sha256":"597503fb7dc2e820b765c06bf9f15b351120e204ff8191eab1c24aa29830a339"},"schema_version":"1.0","source":{"id":"1105.0391","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.0391","created_at":"2026-05-18T02:02:10Z"},{"alias_kind":"arxiv_version","alias_value":"1105.0391v1","created_at":"2026-05-18T02:02:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.0391","created_at":"2026-05-18T02:02:10Z"},{"alias_kind":"pith_short_12","alias_value":"43F3RNEO5ET3","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"43F3RNEO5ET3YA6D","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"43F3RNEO","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:fc734e7b85a30541156a69e3f19cd691aec366f19679b6d24e8a56906d83f5e0","target":"graph","created_at":"2026-05-18T02:02:10Z","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":"We consider a 1-parameter family of self-adjoint extensions of the Hamiltonian for a particle confined to a finite interval with perfectly reflecting boundary conditions. In some cases, one obtains negative energy states which seems to violate the Heisenberg uncertainty relation. We use this as a motivation to derive a generalized uncertainty relation valid for an arbitrarily shaped quantum dot with general perfectly reflecting walls in $d$ dimensions. In addition, a general uncertainty relation for non-Hermitean operators is derived and applied to the non-Hermitean momentum operator in a quan","authors_text":"M. H. Al-Hashimi, U.-J. Wiese","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-05-02T18:07:22Z","title":"From a Particle in a Box to the Uncertainty Relation in a Quantum Dot and to Reflecting Walls for Relativistic Fermions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.0391","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:ac82a2d2e930db2bc3236c58639ec27d7fbbad142d3d62804a55fc122ee0e4cc","target":"record","created_at":"2026-05-18T02:02:10Z","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":"f8f1334cebf1c6c06e772729c6e94ff2b3159ec4bdfb47bccf7d61bbcbdf132d","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-05-02T18:07:22Z","title_canon_sha256":"597503fb7dc2e820b765c06bf9f15b351120e204ff8191eab1c24aa29830a339"},"schema_version":"1.0","source":{"id":"1105.0391","kind":"arxiv","version":1}},"canonical_sha256":"e6cbb8b48ee927bc03c3f1b6e1b3972d1889725c6bccab8e47a2445096ea8366","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e6cbb8b48ee927bc03c3f1b6e1b3972d1889725c6bccab8e47a2445096ea8366","first_computed_at":"2026-05-18T02:02:10.121561Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:02:10.121561Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wWfFjb+1sLMqFosuqluwKF56+U/Zyd6/5XTlWWxpGuj7Hj/6hv+mXmtHIe+GVxIPPXIk4KHFXrXuzVgEd1AIDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:02:10.122236Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.0391","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac82a2d2e930db2bc3236c58639ec27d7fbbad142d3d62804a55fc122ee0e4cc","sha256:fc734e7b85a30541156a69e3f19cd691aec366f19679b6d24e8a56906d83f5e0"],"state_sha256":"984cde65072a4942161c1bc6d816e5b73ccd818d0343d17df93d4a2c643b6391"}