{ "id": "quant-ph/0508017", "version": "v1", "published": "2005-08-02T11:17:02.000Z", "updated": "2005-08-02T11:17:02.000Z", "title": "A new perturbative expansion of the time evolution operator associated with a quantum system", "authors": [ "Paolo Aniello" ], "comment": "32 pages; modified version with examples of my previous paper quant-ph/0404056; to appear on the J. of Optics B: Quantum and Semiclassical Optics, Special Issue on 'Optics and Squeeze Transformations after Einstein'", "journal": "J.Opt.B Quant.Semiclass.Opt. 7 (2005) S507-S522", "doi": "10.1088/1464-4266/7/12/011", "categories": [ "quant-ph" ], "abstract": "A novel expansion of the evolution operator associated with a -- in general, time-dependent -- perturbed quantum Hamiltonian is presented. It is shown that it has a wide range of possible realizations that can be fitted according to computational convenience or to satisfy specific requirements. As a remarkable example, the quantum Hamiltonian describing a laser-driven trapped ion is studied in detail.", "revisions": [ { "version": "v1", "updated": "2005-08-02T11:17:02.000Z" } ], "analyses": { "keywords": [ "time evolution operator", "quantum system", "perturbative expansion", "satisfy specific requirements", "perturbed quantum hamiltonian" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 32, "language": "en", "license": "arXiv", "status": "editable", "inspire": 706621 } } }