Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact Solutions and Geometric Phases of Dipole Oscillator in Rapidly
  Varying Electric Field   The present letter obtains the exact solution and geometric phase of the
time-dependent Schr\"{o}dinger equation governing the dipole oscillator in the
exterior electric field, by making use of the Lewis-Riesenfeld invariant theory
and the invariant-related unitary transformation formulation. It is shown that
the geometric phase presents the global property of the time evolution of the
dipole oscillator in time-dependent environments.

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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex