Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Manifold curvature and Ehrenfest forces with a moving basis   Known force terms arising in the Ehrenfest dynamics of quantum electrons and
classical nuclei, due to a moving basis set for the former, can be understood
in terms of the curvature of the manifold hosting the quantum states of the
electronic subsystem. Namely, the velocity-dependent terms appearing in the
Ehrenfest forces on the nuclei acquire a geometrical meaning in terms of the
intrinsic curvature of the manifold, while Pulay terms relate to its extrinsic
curvature.

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The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
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The categories of this paper are: eess
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat