{"paper":{"title":"A conditionally integrable bi-confluent Heun potential involving inverse square root and centrifugal barrier terms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"A.M. Ishkhanyan, T.A. Ishkhanyan, V.P. Krainov","submitted_at":"2017-08-31T23:23:31Z","abstract_excerpt":"We present a conditionally integrable potential, belonging to the bi-confluent Heun class, for which the Schr\\\"odinger equation is solved in terms of the confluent hypergeometric functions. The potential involves an attractive inverse square root term with arbitrary strength and a repulsive centrifugal barrier core with the strength fixed to a constant. This is a potential well defined on the half-axis. Each of the fundamental solutions composing the general solution of the Schr\\\"odinger equation is written as an irreducible linear combination, with non-constant coefficients, of two confluent "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.01164","kind":"arxiv","version":2},"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"}