{ "id": "quant-ph/0409176", "version": "v1", "published": "2004-09-26T13:22:52.000Z", "updated": "2004-09-26T13:22:52.000Z", "title": "The improvement wave equations of relativistic and non-relativistic quantum mechanics", "authors": [ "Xiangyao Wu", "Wei Han", "Gui-Song Wu", "Xiao-Bo Zhang", "Bingxin Zhang" ], "comment": "15 pages", "categories": [ "quant-ph" ], "abstract": "In this work, we follow the idea of the De Broglie's matter waves and the analogous method that Schr\\\"{o}dinger founded wave equation, but we apply the more essential Hamilton principle instead of the minimum action principle of Jacobi which was used in setting up Schr\\\"{o}dinger wave equation. Thus, we obtain a novel non-relativistic wave equation which is different from the Schr\\\"{o}dinger equation, and relativistic wave equation including free and non-free particle. In addition, we get the spin 1/2 particle wave equation in potential field.", "revisions": [ { "version": "v1", "updated": "2004-09-26T13:22:52.000Z" } ], "analyses": { "keywords": [ "non-relativistic quantum mechanics", "improvement wave equations", "essential hamilton principle", "novel non-relativistic wave equation", "particle wave equation" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004quant.ph..9176W" } } }