Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximate Analytical Solutions to Relativistic and Nonrelativistic
  P\"{o}schl-Teller Potential with its Thermodynamic Properties   We apply the asymptotic iteration method (AIM) to obtain the solutions of
Schrodinger equation in the presence of Poschl-Teller (PT) potential. We also
obtain the solutions of Dirac equation for the same potential under the
condition of spin and pseudospin (p-spin) symmetries. We show that in the
nonrelativistic limits, the solution of Dirac system converges to that of
Schrodinger system. Rotational-Vibrational energy eigenvalues of some diatomic
molecules are calculated. Some special cases of interest are studied such as
s-wave case, reflectionless-type potential and symmetric hyperbolic PT
potential. Furthermore, we present a high temperature partition function in
order to study the behavior of the thermodynamic functions such as the
vibrational mean energy U, specific heat C, free energy F and entropy S.

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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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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: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg