English

Multi-body wave function of ground and low-lying excited states using unornamented deep neural networks

Computational Physics 2023-12-07 v3 Other Condensed Matter High Energy Physics - Theory Nuclear Theory Quantum Physics

Abstract

We propose a method to calculate wave functions and energies not only of the ground state but also of low-lying excited states using a deep neural network and the unsupervised machine learning technique. For systems composed of identical particles, a simple method to perform symmetrization for bosonic systems and antisymmetrization for fermionic systems is also proposed.

Keywords

Cite

@article{arxiv.2302.08965,
  title  = {Multi-body wave function of ground and low-lying excited states using unornamented deep neural networks},
  author = {Tomoya Naito and Hisashi Naito and Koji Hashimoto},
  journal= {arXiv preprint arXiv:2302.08965},
  year   = {2023}
}

Comments

23 pages, 18 figures, 8 tables; Typo of Eq. (25) corrected