Goldberg’s theorem and the Baker–Campbell–Hausdorff formula

Hiroto Kobayashi, Hatanoau>, Naomichi and Masuo Suzuki

Physica A: Statistical Mechanics and its Applications, 1998, vol. 250, issue 1, 535-548

Abstract: Goldberg’s theorem [Duke Math. J. 23 (1956) 13] is applied to expressing the logarithm of exponential product in terms of free Lie elements, using hyperoperators, namely, inner derivations. A symmetric property of the expansion coefficients in the formal power series is also discussed.

Keywords: Exponential product formula; Free Lie algebra; Goldberg’s theorem; Baker–Campbell–Hausdorff formula (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:250:y:1998:i:1:p:535-548

DOI: 10.1016/S0378-4371(97)00557-8

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