Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The rotation number for almost periodic potentials with jump
  discontinuities and $\delta$-interactions   We consider one-dimensional Schr\"odinger operators with generalized almost
periodic potentials with jump discontinuities and $\delta$-interactions. For
operators of this kind we introduce a rotation number in the spirit of Johnson
and Moser. To do this, we introduce the concept of almost periodicity at a
rather general level, and then the almost periodic function with jump
discontinuities and $\delta$-interactions as an application.

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The categories of this paper are: hep-th
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: eess