Article citationsMore>>
Kim, J., Baczewski, A.T., Beaudet, T.D., Benali, A., Chandler Bennett, M., Berrill, M.A., et al. (2018) QMCPACK: An Open Source ab Initio Quantum Monte Carlo Package for the Electronic Structure of Atoms, Molecules and Solids. Journal of Physics Condensed Matter, 30, Article ID: 195901.
https://doi.org/10.1088/1361-648X/aab9c3
has been cited by the following article:
-
TITLE:
Solving the Schrodinger Equation on the Basis of Finite-Difference and Monte-Carlo Approaches
AUTHORS:
Konstantin Eduardovich Plokhotnikov
KEYWORDS:
Schrodinger Equation, Numerical Methods, Finite Difference and Monte-Carlo Methods
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.2,
February
26,
2021
ABSTRACT: The paper presents a method of numerical solution of the Schrodinger equation, which combines the finite-difference and Monte-Carlo approaches. The resulting method was effective and economical and, to a certain extent, not improved, i.e. optimal. The method itself is formalized as an algorithm for the numerical solution of the Schrodinger equation for a molecule with an arbitrary number of quantum particles. The method is presented and simultaneously illustrated by examples of solving the one-dimensional and multidimensional Schrodinger equation in such problems: linear one-dimensional oscillator, hydrogen atom, ion and hydrogen molecule, water, benzene and metallic hydrogen.