{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:YON66J7ATDJJ34VBBVVBUVEGXF","short_pith_number":"pith:YON66J7A","schema_version":"1.0","canonical_sha256":"c39bef27e098d29df2a10d6a1a5486b95e39123c900934b46179333764f6f342","source":{"kind":"arxiv","id":"0910.0192","version":1},"attestation_state":"computed","paper":{"title":"Supersymmetric Quantum Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"David J. Fernandez C","submitted_at":"2009-10-01T14:45:33Z","abstract_excerpt":"Supersymmetric quantum mechanics (SUSY QM) is a powerful tool for generating new potentials with known spectra departing from an initial solvable one. In these lecture notes we will present some general formulas concerning SUSY QM of first and second order for one-dimensional arbitrary systems, and we will illustrate the method through the trigonometric Poschl-Teller potentials. Some intrinsically related subjects, as the algebraic structure inherited by the new Hamiltonians and the corresponding coherent states will be analyzed. The technique will be as well implemented for periodic potential"},"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":"0910.0192","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-10-01T14:45:33Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"f138857a9c39971ebcf89fd97c22ce64da8b6e5b76a80ed528b11e6c74cad130","abstract_canon_sha256":"ef8187aaffe0b6cb10281f5dbbfc3d486017be1c50717152ea27c26b746673cf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:14:15.199323Z","signature_b64":"ocbTAHXf1JG/eitxJ/tnSWzdJjtQ7nj0E2zKBfx/tO1O3inA3tklFICoIrZ/7lDij8e9v0Sqa7hhgcnaHUSeCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c39bef27e098d29df2a10d6a1a5486b95e39123c900934b46179333764f6f342","last_reissued_at":"2026-05-18T04:14:15.198729Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:14:15.198729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Supersymmetric Quantum Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"David J. Fernandez C","submitted_at":"2009-10-01T14:45:33Z","abstract_excerpt":"Supersymmetric quantum mechanics (SUSY QM) is a powerful tool for generating new potentials with known spectra departing from an initial solvable one. In these lecture notes we will present some general formulas concerning SUSY QM of first and second order for one-dimensional arbitrary systems, and we will illustrate the method through the trigonometric Poschl-Teller potentials. Some intrinsically related subjects, as the algebraic structure inherited by the new Hamiltonians and the corresponding coherent states will be analyzed. The technique will be as well implemented for periodic potential"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.0192","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":"0910.0192","created_at":"2026-05-18T04:14:15.198814+00:00"},{"alias_kind":"arxiv_version","alias_value":"0910.0192v1","created_at":"2026-05-18T04:14:15.198814+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.0192","created_at":"2026-05-18T04:14:15.198814+00:00"},{"alias_kind":"pith_short_12","alias_value":"YON66J7ATDJJ","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_16","alias_value":"YON66J7ATDJJ34VB","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_8","alias_value":"YON66J7A","created_at":"2026-05-18T12:26:02.257875+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/YON66J7ATDJJ34VBBVVBUVEGXF","json":"https://pith.science/pith/YON66J7ATDJJ34VBBVVBUVEGXF.json","graph_json":"https://pith.science/api/pith-number/YON66J7ATDJJ34VBBVVBUVEGXF/graph.json","events_json":"https://pith.science/api/pith-number/YON66J7ATDJJ34VBBVVBUVEGXF/events.json","paper":"https://pith.science/paper/YON66J7A"},"agent_actions":{"view_html":"https://pith.science/pith/YON66J7ATDJJ34VBBVVBUVEGXF","download_json":"https://pith.science/pith/YON66J7ATDJJ34VBBVVBUVEGXF.json","view_paper":"https://pith.science/paper/YON66J7A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0910.0192&json=true","fetch_graph":"https://pith.science/api/pith-number/YON66J7ATDJJ34VBBVVBUVEGXF/graph.json","fetch_events":"https://pith.science/api/pith-number/YON66J7ATDJJ34VBBVVBUVEGXF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YON66J7ATDJJ34VBBVVBUVEGXF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YON66J7ATDJJ34VBBVVBUVEGXF/action/storage_attestation","attest_author":"https://pith.science/pith/YON66J7ATDJJ34VBBVVBUVEGXF/action/author_attestation","sign_citation":"https://pith.science/pith/YON66J7ATDJJ34VBBVVBUVEGXF/action/citation_signature","submit_replication":"https://pith.science/pith/YON66J7ATDJJ34VBBVVBUVEGXF/action/replication_record"}},"created_at":"2026-05-18T04:14:15.198814+00:00","updated_at":"2026-05-18T04:14:15.198814+00:00"}