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

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.

References in corpus (3)

• Properties of short-range and long-range correlation energy density functionals from electron-electron coalescence
• Models and corrections: range separation for electronic interaction -- lessons from density functional theory
• Correcting models with long-range electron interaction using generalized cusp conditions

Cited by in corpus (3)

• Exploring the role of mean-field potentials and short-range wave function behavior in the adiabatic connection
• A modified expression for the Hamiltonian expectation value exploiting the short-range behavior of the wave function
• Exotic Harmonium Model: Exploring Correlation Effects of Attractive Coulomb Interaction