{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:JMYYVH77QFN4EG6IBYMXN246OL","short_pith_number":"pith:JMYYVH77","schema_version":"1.0","canonical_sha256":"4b318a9fff815bc21bc80e1976eb9e72dcd21028974fc1e6d03638076c7dba47","source":{"kind":"arxiv","id":"quant-ph/0406036","version":1},"attestation_state":"computed","paper":{"title":"A new general approximation scheme(NGAS) in quantum theory:application to the anharmonic- and double well oscillators","license":"","headline":"","cross_cats":["cond-mat.other","hep-th","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"B.P.Mahapatra, N.B.Pradhan, N.Santi","submitted_at":"2004-06-07T13:05:27Z","abstract_excerpt":"A new scheme of approximation in quantum theory is proposed which is potentially applicable to arbtrary interacting systems. The method consists in in approximating the original Hamiltonian by one corresponding to a suitable exactly solvable system (with interaction) such that the \"quantum average\" of both are equal, thus forcing self-consistency.The method transcends the limitations of the variational method and the perturbation theory.The results are systematically improvable by the construction of a improved perturbation theory (IPT) which automatically satisfies the condition of convergenc"},"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":"quant-ph/0406036","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2004-06-07T13:05:27Z","cross_cats_sorted":["cond-mat.other","hep-th","math-ph","math.MP"],"title_canon_sha256":"2b8d6c340151ae64b984516860b200325d4ce846f5c7eb95972170d4460cf0d2","abstract_canon_sha256":"bde6c933108f4fdcb92d124ae2f26821549862de1b50cc9f4ee07c8558b8ce74"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:36:59.611517Z","signature_b64":"shNssKx2qk9yBBPRuoaPZsWZbkc6I1woOUYojETTBekLIjAiZK5H99gHXwr3vJIW/jCySbWtjGAhlNOopQ4MBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4b318a9fff815bc21bc80e1976eb9e72dcd21028974fc1e6d03638076c7dba47","last_reissued_at":"2026-05-18T04:36:59.610777Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:36:59.610777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A new general approximation scheme(NGAS) in quantum theory:application to the anharmonic- and double well oscillators","license":"","headline":"","cross_cats":["cond-mat.other","hep-th","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"B.P.Mahapatra, N.B.Pradhan, N.Santi","submitted_at":"2004-06-07T13:05:27Z","abstract_excerpt":"A new scheme of approximation in quantum theory is proposed which is potentially applicable to arbtrary interacting systems. The method consists in in approximating the original Hamiltonian by one corresponding to a suitable exactly solvable system (with interaction) such that the \"quantum average\" of both are equal, thus forcing self-consistency.The method transcends the limitations of the variational method and the perturbation theory.The results are systematically improvable by the construction of a improved perturbation theory (IPT) which automatically satisfies the condition of convergenc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0406036","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":"quant-ph/0406036","created_at":"2026-05-18T04:36:59.610890+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0406036v1","created_at":"2026-05-18T04:36:59.610890+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0406036","created_at":"2026-05-18T04:36:59.610890+00:00"},{"alias_kind":"pith_short_12","alias_value":"JMYYVH77QFN4","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_16","alias_value":"JMYYVH77QFN4EG6I","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_8","alias_value":"JMYYVH77","created_at":"2026-05-18T12:25:52.687210+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2412.11157","citing_title":"Polynomial potentials and nilpotent groups","ref_index":27,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JMYYVH77QFN4EG6IBYMXN246OL","json":"https://pith.science/pith/JMYYVH77QFN4EG6IBYMXN246OL.json","graph_json":"https://pith.science/api/pith-number/JMYYVH77QFN4EG6IBYMXN246OL/graph.json","events_json":"https://pith.science/api/pith-number/JMYYVH77QFN4EG6IBYMXN246OL/events.json","paper":"https://pith.science/paper/JMYYVH77"},"agent_actions":{"view_html":"https://pith.science/pith/JMYYVH77QFN4EG6IBYMXN246OL","download_json":"https://pith.science/pith/JMYYVH77QFN4EG6IBYMXN246OL.json","view_paper":"https://pith.science/paper/JMYYVH77","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0406036&json=true","fetch_graph":"https://pith.science/api/pith-number/JMYYVH77QFN4EG6IBYMXN246OL/graph.json","fetch_events":"https://pith.science/api/pith-number/JMYYVH77QFN4EG6IBYMXN246OL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JMYYVH77QFN4EG6IBYMXN246OL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JMYYVH77QFN4EG6IBYMXN246OL/action/storage_attestation","attest_author":"https://pith.science/pith/JMYYVH77QFN4EG6IBYMXN246OL/action/author_attestation","sign_citation":"https://pith.science/pith/JMYYVH77QFN4EG6IBYMXN246OL/action/citation_signature","submit_replication":"https://pith.science/pith/JMYYVH77QFN4EG6IBYMXN246OL/action/replication_record"}},"created_at":"2026-05-18T04:36:59.610890+00:00","updated_at":"2026-05-18T04:36:59.610890+00:00"}