Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Andreev reflection and the semiclassical Bogoliubov-de Gennes
  Hamiltonian: resonant states   We present a semi-classical analysis of the opening of superchannels in gated
mesoscopic SNS junctions. For perfect junctions (i.e. hard-wall potential),
this was considered by Chtchelkatchev, Lesovik and Blatter in the framework of
scattering matrices. Here we allow for imperfections in the junction, so that
the complex order parameter continues as a smooth function, which is a constant
in the superconducting banks, and vanishes rapidly inside the lead. We obtain
quantization rules for resonant Andreev states near energy E close to the Fermi
level, including the determination of the resonance width.

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The categories of this paper are: hep-th
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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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: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat