Quantum chemistry by random walk: Higher accuracy
- 15 October 1980
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 73 (8) , 3897-3899
- https://doi.org/10.1063/1.440575
Abstract
The random walk method of solving the Schrödinger equation is extended to allow the calculation of eigenvalues of atomic and molecular systems with higher accuracy. The combination of direct calculation of the difference δ between a true wave function ψ and a trial wave function ψ o with importance sampling greatly reduces systematic and statistical error. The method is illustrated with calculations for ground‐state hydrogen and helium atoms using trial wave functions from variational calculations. The energies obtained are 20 to 100 times more accurate than those of the corresponding variational calculations.Keywords
This publication has 7 references indexed in Scilit:
- Quantum chemistry by random walk: Method of successive correctionsJournal of Computational Physics, 1979
- Quantum chemistry by random walk: H4 squareInternational Journal of Quantum Chemistry, 1979
- Quantum chemistry by random walk. H 2P, H+3 D3h 1A′1, H2 3Σ+u, H4 1Σ+g, Be 1SThe Journal of Chemical Physics, 1976
- A random-walk simulation of the Schrödinger equation: H+3The Journal of Chemical Physics, 1975
- Helium at zero temperature with hard-sphere and other forcesPhysical Review A, 1974
- Ground State of the Helium AtomPhysical Review B, 1962
- Neue Berechnung der Energie des Heliums im Grundzustande, sowie des tiefsten Terms von Ortho-HeliumThe European Physical Journal A, 1929