Optimized wave functions for quantum Monte Carlo studies of atoms and solids
- 15 April 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 53 (15), 9640-9648
- https://doi.org/10.1103/physrevb.53.9640
Abstract
Wave functions for the homogeneous electron gas, a germanium pseudosolid, and a germanium pseudoatom are optimized using the method of variance minimization. Forms for the Jastrow factor which are convenient to optimize and may be evaluated rapidly are devised and tested and we stress the advantages of using expressions which are linear in the variable parameters. For each system studied we have performed variational and diffusion quantum Monte Carlo calculations to test the accuracy of the optimized wave functions. The results of our study are very promising for future applications of quantum Monte Carlo methods to real materials. © 1996 The American Physical Society.Keywords
This publication has 21 references indexed in Scilit:
- A diffusion Monte Carlo algorithm with very small time-step errorsThe Journal of Chemical Physics, 1993
- Fermion nodesJournal of Statistical Physics, 1991
- Optimized trial wave functions for quantum Monte Carlo calculationsPhysical Review Letters, 1988
- Fixed-node quantum Monte Carlo for moleculesa) b)The Journal of Chemical Physics, 1982
- Ground State of the Electron Gas by a Stochastic MethodPhysical Review Letters, 1980
- Ground state of the fermion one-component plasma: A Monte Carlo study in two and three dimensionsPhysical Review B, 1978
- Monte Carlo simulation of a many-fermion studyPhysical Review B, 1977
- Ground State of LiquidPhysical Review B, 1965
- On the eigenfunctions of many‐particle systems in quantum mechanicsCommunications on Pure and Applied Mathematics, 1957
- A Collective Description of Electron Interactions: III. Coulomb Interactions in a Degenerate Electron GasPhysical Review B, 1953