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Note on an Approximation Treatment for Many-Electron Systems

Chr. Møller, +1 more
- 01 Oct 1934 - 
- Vol. 46, Iss: 7, pp 618-622
TLDR
In this article, a perturbation theory for treating a system of n electrons in which the Hartree-Fock solution appears as the zero-order approximation was developed, and it was shown by this development that the first order correction for the energy and the charge density of the system is zero.
Abstract
A perturbation theory is developed for treating a system of n electrons in which the Hartree-Fock solution appears as the zero-order approximation. It is shown by this development that the first order correction for the energy and the charge density of the system is zero. The expression for the second-order correction for the energy greatly simplifies because of the special property of the zero-order solution. It is pointed out that the development of the higher approximation involves only calculations based on a definite one-body problem.

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Double‐hybrid density functionals

TL;DR: Double-hybrid density functionals (DHDFs) are reviewed in this paper, where the contribution of nonlocal Fock-exchange and second-order perturbative correlation is replaced by contributions from nonlocal perturbation correlation.
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The choice of a zeroth-order Hamiltonian for second-order perturbation theory with a complete active space self-consistent-field reference function

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Theory and application of explicitly correlated Gaussians

TL;DR: The variational method complemented with the use of explicitly correlated Gaussian basis functions is one of the most powerful approaches currently used for calculating the properties of few-body systems as mentioned in this paper.
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Anchoring the water dimer potential energy surface with explicitly correlated computations and focal point analyses

TL;DR: In this paper, the authors characterized ten stationary points on the water dimer potential energy surface with the coupled-cluster technique, including all single and double excitations as well as a perturbative approximation of triple excitations.
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