Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral singularity and deep multiple minima in the reflectivity in
  non-Hermitian (complex) Ginocchio potential   We bring out the existence of at most one spectral singularity (SS) and deep
multiple minima in the reflectivity of the non-Hermitian (complex) Ginocchio
potential. We find a parameter dependent single spectral singularity in this
potential provided the imaginary part is emissive (not absorptive). The
reflectionlessness of the real Hermitian Ginocchio's potential at discrete
positive energies gives way to deep multiple minima in reflectivity when this
potential is perturbed and made non-Hermitian (complex). A novel co-existence
of a SS with deep minima in reflectivity is also revealed wherein the first
reflectivity zero of the Hermitian case changes to become a SS for the
non-Hermitian case. {PACS: 03.65.Nk,11.30.Er,42.25.Bs}

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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: econ
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
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The categories of this paper are: hep-th