{ "id": "1208.0718", "version": "v1", "published": "2012-08-03T11:35:45.000Z", "updated": "2012-08-03T11:35:45.000Z", "title": "Generating of additional force terms in Newton equation by twist-deformed Hopf algebras and classical symmetries", "authors": [ "Marcin Daszkiewicz" ], "comment": "to appear in Proceedings of the 29th Max Born Symposium, no figures, 10 pages, Latex source", "journal": "Int. J. Geom. Methods Mod. Phys., 09, 1261003 (2012)", "doi": "10.1142/S0219887812610038", "categories": [ "math-ph", "hep-th", "math.MP" ], "abstract": "We compare two ways of force terms generating in the model of nonrelativistic particle moving in the presence of constant field force $\\vec{F}$. First of them uses the twist-deformed acceleration-enlarged Newton-Hooke quantum space-times while the second one incorporates the doubly enlarged Newton-Hooke transformations of classical space. Particulary, we find the conditions for which the both treatments provide the same force terms.", "revisions": [ { "version": "v1", "updated": "2012-08-03T11:35:45.000Z" } ], "analyses": { "keywords": [ "additional force terms", "twist-deformed hopf algebras", "newton equation", "classical symmetries", "acceleration-enlarged newton-hooke quantum space-times" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1125869, "adsabs": "2012arXiv1208.0718D" } } }