{ "id": "0906.1251", "version": "v2", "published": "2009-06-06T06:34:29.000Z", "updated": "2009-08-03T09:39:31.000Z", "title": "Ladder operators and coherent states for continuous spectra", "authors": [ "Joseph Ben Geloun", "John R. Klauder" ], "comment": "Typos corrected", "categories": [ "math-ph", "math.MP" ], "abstract": "The notion of ladder operators is introduced for systems with continuous spectra. We identify two different kinds of annihilation operators allowing the definition of coherent states as modified \"eigenvectors\" of these operators. Axioms of Gazeau-Klauder are maintained throughout the construction.", "revisions": [ { "version": "v2", "updated": "2009-08-03T09:39:31.000Z" } ], "analyses": { "keywords": [ "coherent states", "ladder operators", "continuous spectra", "annihilation operators", "construction" ], "tags": [ "journal article" ], "publication": { "doi": "10.1088/1751-8113/42/37/375209", "journal": "Journal of Physics A Mathematical General", "year": 2009, "month": "Sep", "volume": 42, "number": 37, "pages": 375209 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009JPhA...42K5209B" } } }