Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The frame bundle picture of Gaussian wave packet dynamics in
  semiclassical mechanics   Recently Ohsawa has studied the Marsden-Weinstein-Meyer quotient of the
manifold $T^*\mathbb{R}^n\times T^*\mathbb{R}^{2n^2}$ under a
$\operatorname{O}(2n)$-symmetry, and has used this quotient to describe the
relationship between two different parametrisations of Gaussian wave packet
dynamics commonly used in semiclassical mechanics. In this paper we suggest a
new interpretation of (a subset of) the unreduced space as being the frame
bundle $\mathcal{F}(T^*\mathbb{R}^n)$ of $T^*\mathbb{R}^n$. We outline some
advantages of this interpretation, and explain how it can be extended to more
general symplectic manifolds using the notion of the diagonal lift of a
symplectic form due to Cordero and de Le\'on.

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The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
19
The categories of this paper are: eess
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con