Exact Baker-Campbell-Hausdorff formula for the contact Heisenberg algebra
Alessandro Bravetti, Angel Garcia-Chung, Diego Tapias
TL;DR
This paper introduces the contact Heisenberg algebra, a restriction of the Jacobi algebra on contact manifolds, and provides an exact Baker-Campbell-Hausdorff formula relevant for quantizing contact systems.
Contribution
It presents the first exact BCH formula for the contact Heisenberg algebra, advancing the mathematical tools for contact system quantization.
Findings
Exact BCH formula derived for the contact Heisenberg algebra
Relevance established for quantization of contact systems
Mathematical framework for contact algebra analysis
Abstract
In this work we introduce the contact Heisenberg algebra which is the restriction of the Jacobi algebra on contact manifolds to the linear and constant functions. We give the exact expression of its corresponding Baker-Campbell-Hausdorff formula. We argue that this result is relevant to the quantization of contact systems.
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