Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum mechanics and classical trajectories   The classical limit $\hbar$->0 of quantum mechanics is known to be delicate,
in particular there seems to be no simple derivation of the classical Hamilton
equation, starting from the Schr\"odinger equation. In this paper I elaborate
on an idea of M. Reuter to represent wave functions by parallel sections of a
flat vector bundle over phase space, using the connection of Fedosov's
construction of deformation quantization. This generalizes the ordinary
Schr\"odinger representation, and allows naturally for a description of quantum
states in terms of a curve plus a wave function. Hamilton's equation arises in
this context as a condition on the curve, ensuring the dynamics to split into a
classical and a quantum part.

18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an