Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scattering amplitudes for the rationally extended P T symmetric complex
  potentials   In this paper, we consider the rational extensions of two different P T
symmetric complex potentials namely the asymptotically vanishing Scarf II and
asymptotically non-vanishing Rosen-Morse II [ RM-II] potentials and obtain
bound state eigenfunc- tions in terms of newly found exceptional Xm Jacobi
polynomials and also some new type of orthogonal polynomials respectively. By
considering the asymptotic behaviour of the exceptional polynomials, we obtain
the reflection and transmission amplitudes for them and discuss the various
novel properties of the corresponding amplitudes.

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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an