{ "id": "1002.2806", "version": "v1", "published": "2010-02-14T22:11:33.000Z", "updated": "2010-02-14T22:11:33.000Z", "title": "Jacobi operators of quantum counterparts of three-dimensional real Lie algebras over the harmonic oscillator", "authors": [ "E. Paal", "J. Virkepu" ], "comment": "arXiv admin note: text overlap with arXiv:0901.4264", "journal": "Banach Center Publications, Vol. 93 (2011), 199-209", "doi": "10.4064/bc93-0-16", "categories": [ "math-ph", "math.MP" ], "abstract": "Operadic Lax representations for the harmonic oscillator are used to construct the quantum counterparts of three-dimensional real Lie algebras. The Jacobi operators of these quantum algebras are explicitly calculated.", "revisions": [ { "version": "v1", "updated": "2010-02-14T22:11:33.000Z" } ], "analyses": { "keywords": [ "three-dimensional real lie algebras", "quantum counterparts", "harmonic oscillator", "jacobi operators", "operadic lax representations" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1002.2806P" } } }