Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-Electron Quantum Dot in Magnetic Field: Analytical Results   Two interacting electrons in a harmonic oscillator potential under the
influence of a perpendicular homogeneous magnetic field are considered.
Analytic expressions are obtained for the energy spectrum of the two- and
three-dimensional cases. Exact conditions for phase transitions due to the
electron-electron interaction in a quantum dot as a function of the dot size
and magnetic field are calculated.

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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
3
The categories of this paper are: physics
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The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph