Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Contracted Plane Wave satisfying periodic gauge   We introduce the contracted plane waves (CPWs), which satisfy the periodic
gauge in the Brillouin-zone torus as in the case of usual Wannier functions.
CPWs are very simply given as the sum of plane waves. We will be able to use
CPWs instead of the Wannier functions for the interpolation of physical
quantities given as the function of wave vectors in BZ. Furthermore, it will be
easy to complement the set of Gaussian bases by CPWs.

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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: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: physics
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The categories of this paper are: adap-org