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We show that the eigenequation for this potential is exactly solvable provided g=2 and (\\omega a^2)^2 = B^2 +(\\ell +(d-2)/2)^2. Under these conditions, we obtain explicit formulae for all the energies and normalized bound-state wavefunctions."},"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":"1010.0620","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-10-04T15:25:09Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"52500385bd4c79fdd61a97efa848a2c8821563a26f25af9bbdcb9729ae4d1d86","abstract_canon_sha256":"fde633eb4a7f1f9a5e2faa0a48ac227c293db013da737bf2e118507c70e4a8e1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:25:49.240141Z","signature_b64":"MhHIW2v8qjcibwPO5l1Ow0hVcyKlk7rAx1dxx3wCFWEvwcLxeX62ui+vkN14aKVkQhBr2GfFXvWCD7hJVAUiCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28c85395ed9a5d00429ed40e61627962f5bf91861197b28e527d69f8d195b286","last_reissued_at":"2026-05-18T04:25:49.239505Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:25:49.239505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalized quantum isotonic nonlinear oscillator in d dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Nasser Saad, Ozlem Yesiltas, Richard L. 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