Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dimensional Scaling Treatment with Relativistic Corrections for Stable
  Multiply Charged Atomic Ions in High-Frequency Super-Intense Laser Fields   We present a theoretical framework which describes multiply-charged atomic
ions, their stability within super-intense laser fields,also lay corrections to
the systems due to relativistic effects. Dimensional scaling calculations with
relativistic corrections for systems: H, H$^{-}$, H$^{2-}$, He, He$^{-}$,
He$^{2-}$, He$^{3-}$ within super-intense laser fields were completed. Also
completed were three-dimensional self consistent field calculations to verify
the dimensionally scaled quantities. With the aforementioned methods the
system's ability to stably bind 'additional' electrons through the development
of multiple isolated regions of high potential energy leading to nodes of high
electron density is shown. These nodes are spaced far enough from each other to
minimized the electronic repulsion of the electrons, while still providing
adequate enough attraction so as to bind the excess elections into orbitals. We
have found that even with relativistic considerations these species are stably
bound within the field. It was also found that performing the dimensional
scaling calculations for systems within the confines of laser fields to be a
much simpler and more cost-effective method than the supporting D=3 SCF method.
The dimensional scaling method is general and can be extended to include
relativistic corrections to describe the stability of simple molecular systems
in super-intense laser fields.

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The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
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The categories of this paper are: q-fin
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: q-alg