{"paper":{"title":"Exactly Solvable Quantum Model with Spin-Dependent Coulomb Interaction","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Choo Hiap Oh, Jiang-Lin Zhou, Jing-Ling Chen, Yu-Xuan Zhang","submitted_at":"2025-01-09T09:44:31Z","abstract_excerpt":"In this work, we report an exactly solvable quantum model featuring a spin-dependent Coulomb interaction, described by the spin vector potential \\(\\vec{\\mathcal{A}} = k (\\vec{r} \\times \\vec{S}) / r^2\\) together with a Coulomb-type scalar potential \\(\\varphi = \\kappa / r\\). The model is governed by the Schr\\\"odinger-type Hamiltonian \\(\\mathcal{H}_{\\rm S} = \\vec{\\Pi}^2 / (2M) + q \\varphi\\) in nonrelativistic quantum mechanics and by the Dirac-type Hamiltonian \\(\\mathcal{H}_{\\rm D} = c \\vec{\\alpha} \\cdot \\vec{\\Pi} + \\beta M c^2 + q \\varphi\\) in relativistic quantum mechanics, where \\(\\vec{\\Pi} = "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.05103","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2501.05103/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}