Theory and application of explicitly correlated Gaussians

J Mitroy, S Bubin, W Horiuchi, Y Suzuki… - Reviews of modern …, 2013 - APS
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 …

Deep-neural-network solution of the electronic Schrödinger equation

J Hermann, Z Schätzle, F Noé - Nature Chemistry, 2020 - nature.com
The electronic Schrödinger equation can only be solved analytically for the hydrogen atom,
and the numerically exact full configuration-interaction method is exponentially expensive in …

Ab initio solution of the many-electron Schrödinger equation with deep neural networks

D Pfau, JS Spencer, AGDG Matthews… - Physical review research, 2020 - APS
Given access to accurate solutions of the many-electron Schrödinger equation, nearly all
chemistry could be derived from first principles. Exact wave functions of interesting chemical …

Born–Oppenheimer and non-Born–Oppenheimer, atomic and molecular calculations with explicitly correlated Gaussians

S Bubin, M Pavanello, WC Tung, KL Sharkey… - Chemical …, 2013 - ACS Publications
Since the early work of Hylleraas on the helium atom, 1 it has been common knowledge that,
to accurately account for the interaction between the electrons in an atom or a molecule …

QMCPACK: an open source ab initio quantum Monte Carlo package for the electronic structure of atoms, molecules and solids

J Kim, AD Baczewski, TD Beaudet… - Journal of Physics …, 2018 - iopscience.iop.org
QMCPACK is an open source quantum Monte Carlo package for ab initio electronic
structure calculations. It supports calculations of metallic and insulating solids, molecules …

Correcting density functional theory for accurate predictions of compound enthalpies of formation: Fitted elemental-phase reference energies

V Stevanović, S Lany, X Zhang, A Zunger - Physical Review B—Condensed …, 2012 - APS
Despite the great success that theoretical approaches based on density functional theory
have in describing properties of solid compounds, accurate predictions of the enthalpies of …

Gold-standard solutions to the Schrödinger equation using deep learning: How much physics do we need?

L Gerard, M Scherbela… - Advances in Neural …, 2022 - proceedings.neurips.cc
Finding accurate solutions to the Schrödinger equation is the key unsolved challenge of
computational chemistry. Given its importance for the development of new chemical …

Using perturbatively selected configuration interaction in quantum Monte Carlo calculations

E Giner, A Scemama, M Caffarel - Canadian Journal of …, 2013 - cdnsciencepub.com
Defining accurate and compact trial wavefunctions leading to small statistical and fixed-node
errors in quantum Monte Carlo (QMC) calculations is still a challenging problem. Here we …

Multideterminant wave functions in quantum Monte Carlo

MA Morales, J McMinis, BK Clark, J Kim… - Journal of chemical …, 2012 - ACS Publications
Quantum Monte Carlo (QMC) methods have received considerable attention over past
decades due to their great promise for providing a direct solution to the many-body …

Strong electronic correlation in the hydrogen chain: A variational Monte Carlo study

L Stella, C Attaccalite, S Sorella, A Rubio - Physical Review B—Condensed …, 2011 - APS
In this paper, we report a fully ab initio variational Monte Carlo study of the linear and
periodic chain of hydrogen atoms, a prototype system providing the simplest example of …