{ "id": "1702.04681", "version": "v1", "published": "2017-02-15T16:53:45.000Z", "updated": "2017-02-15T16:53:45.000Z", "title": "Full Expansion of the Baker-Campbell-Hausdorff Formula", "authors": [ "Tetsuji Kimura" ], "comment": "4 pages", "categories": [ "math-ph", "hep-th", "math.MP", "quant-ph" ], "abstract": "We explicitly describe an expansion of ${\\rm e}^{A+B}$ as an infinite sum of the products of $B$ multiplied by the exponential function of $A$. This is the full expansion of the Zassenhaus formula. We also express the Baker-Campbell-Hausdorff formula in a different manner.", "revisions": [ { "version": "v1", "updated": "2017-02-15T16:53:45.000Z" } ], "analyses": { "keywords": [ "baker-campbell-hausdorff formula", "full expansion", "infinite sum", "exponential function" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }