Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An exact power series representation of the Baker-Campbell-Hausdorff
  formula   An exact representation of the Baker-Campbell-Hausdorff formula as a power
series in just one of the two variables is constructed. Closed form
coefficients of this series are found in terms of hyperbolic functions, which
contain all of the dependence of the second variable. It is argued that this
exact series may then be truncated and expected to give a good approximation to
the full expansion if only the perturbative variable is small. This improves
upon existing formulae, which require both to be small. As such this may allow
access to larger phase spaces in physical problems which employ the
Baker-Campbell-Hausdorff formula, along with enabling new problems to be
tackled.

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The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
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The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
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The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
18
The categories of this paper are: econ