{ "id": "quant-ph/0011070", "version": "v1", "published": "2000-11-16T08:07:38.000Z", "updated": "2000-11-16T08:07:38.000Z", "title": "The Bargmann representation for the quantum mechanics on a sphere", "authors": [ "K. Kowalski", "J. Rembielinski" ], "comment": "LaTeX", "journal": "J. Math. Phys., 42 (2001) 4138-4147", "categories": [ "quant-ph" ], "abstract": "The Bargmann representation is constructed corresponding to the coherent states for a particle on a sphere introduced in: K. Kowalski and J. Rembielinski, J. Phys. A: Math. Gen. 33, 6035 (2000). The connection is discussed between the introduced formalism and the standard approach based on the Hilbert space of square integrable functions on a sphere S^2.", "revisions": [ { "version": "v1", "updated": "2000-11-16T08:07:38.000Z" } ], "analyses": { "subjects": [ "03.65.Ge" ], "keywords": [ "bargmann representation", "quantum mechanics", "coherent states", "standard approach", "hilbert space" ], "tags": [ "journal article" ], "publication": { "publisher": "AIP", "journal": "Journal of Mathematical Physics", "doi": "10.1063/1.1385376", "year": 2001, "month": "Sep", "volume": 42, "number": 9, "pages": 4138 }, "note": { "typesetting": "LaTeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2001JMP....42.4138K" } } }