Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\mathbb{C}^N$-Smorodinsky-Winternitz system in a constant magnetic
  field   We propose the superintegrable generalization of Smorodinsky-Winternitz
system on the $N$-dimensional complex Euclidian space which is specified by the
presence of constant magnetic field. We find out that in addition to $2N$
Liouville integrals the system has additional functionally independent
constants of motion, and compute their symmetry algebra. We perform the
Kustaanheimo-Stiefel transformation of $\mathbb{C}^2$- Smorodinsky-Winternitz
system to the (three-dimensional) generalized MICZ-Kepler problem and find the
symmetry algebra of the latter one. We observe that constant magnetic field
appearing in the initial system has no qualitative impact on the resulting
system.

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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc