Comment on 'Special-case closed form of the Baker-Campbell-Hausdorff formula'
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AbstractRecently Van-Brunt and Visser (2015 J. Phys. A: Math. Theor. 48 225207) succeeded in explicitly evaluating the Baker-Campbell-Hausdorff (BCH) expansion series for the noncommuting operators X and Y, provided that the two operators satisfy the commutation relation: [X, Y] = uX + vY + cI, and the operator I commutes with both of them. In this comment we show that the closed-form BCH formula of this special case can be straightforwardly derived by the means of the Wei-Norman theorem and no summation of the infinite series is needed.
All Author(s) ListLo CF
Journal nameJournal of Physics A: Mathematical and Theoretical
Year2016
Month5
Day27
Volume Number49
Issue Number21
PublisherIOP PUBLISHING LTD
ISSN1751-8113
eISSN1751-8121
LanguagesEnglish-United Kingdom
KeywordsBaker-Campbell-Hausdorff expansion formula; Lie algebra; Wei-Norman theorem
Web of Science Subject CategoriesPhysics; Physics, Mathematical; Physics, Multidisciplinary

Last updated on 2020-23-05 at 02:02