{ "id": "0903.5456", "version": "v1", "published": "2009-03-31T13:17:10.000Z", "updated": "2009-03-31T13:17:10.000Z", "title": "A bounded version of bosonic creation and annihilation operators and their related quasi-coherent states", "authors": [ "Fabio Bagarello" ], "journal": "J. Math. Phys., 48 (2007)", "doi": "10.1063/1.2423230", "categories": [ "math-ph", "math.MP" ], "abstract": "Coherent states are usually defined as eigenstates of an unbounded operator, the so-called annihilation operator. We propose here possible constructions of {\\em quasi-coherent states}, which turn out to be {\\em quasi} eigenstate of a \\underline{bounded} operator related to an annihilation-like operator. We use this bounded operator to construct a sort of modified harmonic oscillator and we analyze the dynamics of this oscillator from an algebraic point of view.", "revisions": [ { "version": "v1", "updated": "2009-03-31T13:17:10.000Z" } ], "analyses": { "subjects": [ "03.65.Ge", "02.10.Ud" ], "keywords": [ "related quasi-coherent states", "annihilation operator", "bosonic creation", "bounded version", "eigenstate" ], "tags": [ "journal article" ], "publication": { "publisher": "AIP", "journal": "Journal of Mathematical Physics", "year": 2007, "month": "Jan", "volume": 48, "number": 1, "pages": 3511 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007JMP....48a3511B" } } }