Meijer-G and other resummation strategies for the Møller-Plesset perturbation series. Journal Articles uri icon

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abstract

  • We compare various resummation techniques on truncated Møller-Plesset perturbation series. Our main results are for Padé, Borel-Padé, and Meijer G resummation techniques. All these resummation techniques improve the energies from truncated Møller-Plesset perturbation theory when the perturbation series is not-too-ill-behaved, but the Meijer-G resummation is arguably the best resummation, at least for low orders. An especially useful feature of the Meijer-G resummation is when it is unreliable, the predicted energy often has a nonnegligible imaginary part, making it possible to preemptively screen out some unreliable results.

authors

  • Zhao, Yilin
  • Zhang, Wenbiao
  • Rong, Chunying
  • Ayers, Paul

publication date

  • November 21, 2024