{ "id": "0710.3929", "version": "v1", "published": "2007-10-21T13:40:35.000Z", "updated": "2007-10-21T13:40:35.000Z", "title": "Supersymmetry, quark confinement and the harmonic oscillator", "authors": [ "S. A. Bruce", "P. C. Minning" ], "comment": "To be published in Journal of Physics A: Mathematical and Theoretical (2007)", "journal": "J.Phys.A40:14877-14886,2007", "doi": "10.1088/1751-8113/40/49/019", "categories": [ "quant-ph" ], "abstract": "We study some quantum systems described by noncanonical commutation relations formally expressed as [q,p]=ihbar(I + chi H), where H is the associated (harmonic oscillator-like) Hamiltonian of the system, and chi is a Hermitian (constant) operator, i.e. [H,chi]=0 . In passing, we also consider a simple (chi=0 canonical) model, in the framework of a relativistic Klein-Gordon-like wave equation.", "revisions": [ { "version": "v1", "updated": "2007-10-21T13:40:35.000Z" } ], "analyses": { "subjects": [ "11.10.Ef", "12.39.Ki", "11.30.Pb", "03.65.Ge", "03.65.Pm" ], "keywords": [ "harmonic oscillator", "quark confinement", "supersymmetry", "relativistic klein-gordon-like wave equation", "quantum systems" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Physics A Mathematical General", "year": 2007, "month": "Dec", "volume": 40, "number": 49, "pages": 14877 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 765088, "adsabs": "2007JPhA...4014877B" } } }