Exact Baker-Campbell-Hausdorff formula for the contact Heisenberg algebra
Mathematical Physics
2017-03-08 v2 High Energy Physics - Theory
math.MP
Symplectic Geometry
Quantum Physics
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.
Keywords
Cite
@article{arxiv.1609.01696,
title = {Exact Baker-Campbell-Hausdorff formula for the contact Heisenberg algebra},
author = {Alessandro Bravetti and Angel Garcia-Chung and Diego Tapias},
journal= {arXiv preprint arXiv:1609.01696},
year = {2017}
}
Comments
8 pages, version 2 with major corrections and improved results