{ "id": "1808.07306", "version": "v1", "published": "2018-08-22T10:42:22.000Z", "updated": "2018-08-22T10:42:22.000Z", "title": "Obtaining eigenvalues and solutions for a class of differential equations using Casimir operator", "authors": [ "Karmadeva Maharana" ], "comment": "4 pages", "categories": [ "math-ph", "math.MP", "quant-ph" ], "abstract": "Using the group theoretic method of spectrum generating algebras a class of differential equations is obtained whose eigenvalues are calculated without explicitly solving the equations. Solutions can be easily obtained by group theoretic methods for a certain type of potentials.", "revisions": [ { "version": "v1", "updated": "2018-08-22T10:42:22.000Z" } ], "analyses": { "keywords": [ "differential equations", "casimir operator", "obtaining eigenvalues", "group theoretic method", "spectrum generating algebras" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }