{"paper":{"title":"Quantization of quadratic Li\\'enard-type equations by preserving Noether symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"G. Gubbiotti, M.C. Nucci","submitted_at":"2014-06-01T18:57:48Z","abstract_excerpt":"The classical quantization of a family of a quadratic Li\\'{e}nard-type equation (Li\\'{e}nard II equation) is achieved by a quantization scheme (M.~C. Nucci. {\\em Theor. Math. Phys.}, 168:994--1001, 2011) that preserves the Noether point symmetries of the underlying Lagrangian in order to construct the Schr\\\"odinger equation. This method straightforwardly yields the Schr\\\"odinger equation as given in (A.~Ghose~Choudhury and Partha Guha. {\\em J. Phys. A: Math. Theor.}, 46:165202, 2013)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.0192","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"}