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

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.

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