{ "id": "0905.2929", "version": "v1", "published": "2009-05-18T16:19:49.000Z", "updated": "2009-05-18T16:19:49.000Z", "title": "Quons, coherent states and intertwining operators", "authors": [ "Fabio Bagarello" ], "comment": "Physics Letters A, in press", "categories": [ "math-ph", "math.MP" ], "abstract": "We propose a differential representation for the operators satisfying the q-mutation relation $BB^\\dagger-q B^\\dagger B=\\1$ which generalizes a recent result by Eremin and Meldianov, and we discuss in detail this choice in the limit $q\\to1$. Further, we build up non-linear and Gazeau-Klauder coherent states associated to the free quonic hamiltonian $h_1=B^\\dagger B$. Finally we construct almost isospectrals quonic hamiltonians adopting the results on intertwining operators recently proposed by the author.", "revisions": [ { "version": "v1", "updated": "2009-05-18T16:19:49.000Z" } ], "analyses": { "keywords": [ "intertwining operators", "free quonic hamiltonian", "q-mutation relation", "gazeau-klauder coherent states", "isospectrals quonic hamiltonians adopting" ], "tags": [ "journal article" ], "publication": { "doi": "10.1016/j.physleta.2009.05.037", "journal": "Physics Letters A", "year": 2009, "month": "Jul", "volume": 373, "number": 31, "pages": 2637 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009PhLA..373.2637B" } } }