Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized formula for the Landau-Zener transition in interacting
  Bose-Einstein condensates   We present a rigorous analysis of the generalized Landau-Zener problem for
the two-level interacting Bose-Einstein condensates. We show that the dynamics
of the system is accurately, in detail, described by a two-term variational
ansatz that is valid for the whole time domain and is applicable for any set of
involved parameters. Applying an exact third order nonlinear differential
equation we construct an advanced fifth order polynomial equation for the final
transition probability serving as a highly accurate generalized Landau-Zener
formula.

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The categories of this paper are: physics
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The categories of this paper are: cs
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
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The categories of this paper are: hep-ph
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The categories of this paper are: math
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn