Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite-Temperature Many-Body Perturbation Theory in the Canonical
  Ensemble   Benchmark data are presented for the zeroth- through third-order many-body
perturbation corrections to the electronic Helmholtz energy, internal energy,
and entropy in the canonical ensemble in a wide range of temperature. They are
determined as numerical $\lambda$-derivatives of the respective quantities
computed by thermal full configuration interaction with a perturbation-scaled
Hamiltonian, $\hat{H}=\hat{H}_0+\lambda\hat{V}$. Sum-over-states analytical
formulas for up to the third-order corrections to these properties are also
derived as analytical $\lambda$-derivatives. These formulas, which are verified
by exact numerical agreement with the benchmark data, are given in terms of the
Hirschfelder-Certain degenerate perturbation energies and should be valid for
both degenerate and nondegenerate reference states at any temperature down to
zero. The results in the canonical ensemble are compared with the same in the
grand canonical ensemble.

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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th