Solving Schr\"{o}dinger Equation Using Tensor Neural Network
Computational Physics
2025-02-27 v4 Chemical Physics
Abstract
In this paper, we introduce a novel approach to solve the many-body Schrodinger equation by the tensor neural network. Based on the tensor product structure, we can do the direct numerical integration by using fixed quadrature points for the functions constructed by the tensor neural network within tolerable computational complexity. Especially, we design several types of efficient numerical methods to treat the variable-coupled Coulomb potentials with high accuracy. The corresponding machine learning method is built for solving many-body Schrodinger equation. Some numerical examples are provided to validate the accuracy and efficiency of the proposed algorithms.
Keywords
Cite
@article{arxiv.2209.12572,
title = {Solving Schr\"{o}dinger Equation Using Tensor Neural Network},
author = {Yangfei Liao and Zhongshuo Lin and Jianghao Liu and Qingyuan Sun and Yifan Wang and Teng Wu and Hehu Xie and Mingfeng He},
journal= {arXiv preprint arXiv:2209.12572},
year = {2025}
}
Comments
31 pages, 12 figures. arXiv admin note: text overlap with arXiv:2207.02754