Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Landau-Zener problem in a three-level neutrino system with non-linear
  time dependence   We consider the level-crossing problem in a three-level system with
non-linearly time-varying Hamiltonian (time-dependence $t^{-3}$). We study the
validity of the so-called independent crossing approximation in the
Landau-Zener model by making comparison with results obtained numerically in
density matrix approach. We also demonstrate the failure of the so-called
"nearest zero" approximation of the Landau-Zener level-crossing probability
integral.

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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th