Solving many-electron Schrödinger equation using deep neural networks

J Han, L Zhang, E Weinan - Journal of Computational Physics, 2019 - Elsevier
We introduce a new family of trial wave-functions based on deep neural networks to solve
the many-electron Schrödinger equation. The Pauli exclusion principle is dealt with explicitly …

Explicitly antisymmetrized neural network layers for variational Monte Carlo simulation

J Lin, G Goldshlager, L Lin - Journal of Computational Physics, 2023 - Elsevier
The combination of neural networks and quantum Monte Carlo methods has arisen as a
promising path forward for highly accurate electronic structure calculations. Previous …

Quantum Monte Carlo for atoms, molecules and solids

WA Lester Jr, L Mitas, B Hammond - Chemical Physics Letters, 2009 - Elsevier
The quantum Monte Carlo (QMC) method has become increasingly important for solution of
the stationary Schrödinger equation for atoms, molecules and solids. The method has been …

Main-group test set for materials science and engineering with user-friendly graphical tools for error analysis: systematic benchmark of the numerical and intrinsic …

IY Zhang, AJ Logsdail, X Ren… - New Journal of …, 2019 - iopscience.iop.org
Understanding the applicability and limitations of electronic-structure methods needs careful
and efficient comparison with accurate reference data. Knowledge of the quality and errors …

Robust wave function optimization procedures in quantum Monte Carlo methods

D Bressanini, G Morosi, M Mella - The Journal of chemical physics, 2002 - pubs.aip.org
The energy variance optimization algorithm over a fixed ensemble of configurations in
variational Monte Carlo often encounters problems of convergence. Being formally identical …

Quantum Monte Carlo investigation of small He4 clusters with a He3 impurity

D Bressanini, M Zavaglia, M Mella… - The Journal of Chemical …, 2000 - pubs.aip.org
In recent years weakly bound atomic and molecular clusters have attracted the attention of a
growing number of experimentalists and theoreticians. They offer the unique opportunity to …

Zori 1.0: A parallel quantum Monte Carlo electronic structure package

A Aspuru–Guzik, R Salomón–Ferrer… - Journal of …, 2005 - Wiley Online Library
The Zori 1.0 package for electronic structure computations is described. Zori performs
variational and diffusion Monte Carlo computations as well as correlated wave function …

Introduction to the variational monte carlo method in quantum chemistry and physics

B Rubenstein - Variational Methods in Molecular Modeling, 2017 - Springer
Abstract Variational Monte Carlo (VMC) methods are a powerful set of quantum Monte Carlo
(QMC) methods that may not only be used to determine the variational energy of a fully …

Study of dipole moments of LiSr and KRb molecules by quantum Monte Carlo methods

S Guo, M Bajdich, L Mitas, PJ Reynolds - Molecular Physics, 2013 - Taylor & Francis
Heteronuclear dimers are of significant interest to experiments seeking to exploit ultracold
polar molecules in a number of novel ways, including precision measurement, quantum …

Properties of fermionic systems with the path-integral ground state method

S Ujevic, V Zampronio, BR de Abreu, SA Vitiello - SciPost Physics Core, 2023 - scipost.org
We investigate strongly correlated many-body systems composed of bosons and fermions
with a fully quantum treatment using the path-integral ground state method, PIGS. To …