Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unified Treatment of Even and Odd Anharmonic Oscillators of Arbitrary
  Degree   We present a unified treatment, including higher-order corrections, of
anharmonic oscillators of arbitrary even and odd degree. Our approach is based
on a dispersion relation which takes advantage of the PT-symmetry of odd
potentials for imaginary coupling parameter, and of generalized quantization
conditions which take into account instanton contributions. We find a number of
explicit new results, including the general behaviour of large-order
perturbation theory for arbitrary levels of odd anharmonic oscillators, and
subleading corrections to the decay width of excited states for odd potentials,
which are numerically significant.

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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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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: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: q-fin