English

Second-order adiabatic connection: The theory and application to two electrons in a parabolic confinement

Chemical Physics 2023-10-18 v1

Abstract

The adiabatic connection formalism, usually based on the first-order perturbation theory, has been generalized to an arbitrary order. The generalization stems from the observation that the formalism can be derived from a properly arranged Taylor expansion. The second-order theory is developed in detail and applied to the description of two electrons in a parabolic confinement (harmonium). A significant improvement relative to the first-order theory has been obtained.

Keywords

Cite

@article{arxiv.2310.11073,
  title  = {Second-order adiabatic connection: The theory and application to two electrons in a parabolic confinement},
  author = {Andreas Savin and Jacek Karwowski},
  journal= {arXiv preprint arXiv:2310.11073},
  year   = {2023}
}