{ "id": "1308.2788", "version": "v1", "published": "2013-08-13T09:02:58.000Z", "updated": "2013-08-13T09:02:58.000Z", "title": "Quantum dynamics of the harmonic oscillator on a cylinder", "authors": [ "K. Kowalski", "J. RembieliƄski" ], "comment": "9 pages, 5 figures", "categories": [ "quant-ph", "hep-th", "nlin.CD" ], "abstract": "Evolution of coherent states is considered for a particle confined to a cylinder moving in a harmonic oscillator potential. Because of the discontinuous changes as time goes by of the phase representing the position of a particle on a parallel (circle) the trajectory pattern of quantum averages specifying coordinates on a cylinder is very complex and in some aspects resembles chaotic one.", "revisions": [ { "version": "v1", "updated": "2013-08-13T09:02:58.000Z" } ], "analyses": { "keywords": [ "quantum dynamics", "quantum averages specifying coordinates", "harmonic oscillator potential", "aspects resembles chaotic", "coherent states" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1247701, "adsabs": "2013arXiv1308.2788K" } } }