{ "id": "1906.06376", "version": "v1", "published": "2019-06-14T19:36:29.000Z", "updated": "2019-06-14T19:36:29.000Z", "title": "Superintegrable deformations of oscillator and Coulomb systems", "authors": [ "Hovhannes Shmavonyan" ], "comment": "PhD Thesis, 113 pages", "categories": [ "math-ph", "math.MP" ], "abstract": "Generalizations of oscillator and Coulomb models are discussed via introduction of holomorphic coordinates. Complex Euclidean analogue of the Smorodinsky-Winternitz system is introduced and studied. Complex projective analogue of Rosochatius model is also discussed. Supersymmetric extensions of these models are considered.", "revisions": [ { "version": "v1", "updated": "2019-06-14T19:36:29.000Z" } ], "analyses": { "keywords": [ "coulomb systems", "superintegrable deformations", "oscillator", "complex euclidean analogue", "rosochatius model" ], "tags": [ "dissertation" ], "note": { "typesetting": "TeX", "pages": 113, "language": "en", "license": "arXiv", "status": "editable" } } }