This work is inspired by the idea of representing the wave function with a restricted Boltzmann machine (RBM), presented recently by G. Carleo and M. Troyer, Science 355, Issue 6325, pp. 602-606 (2017). They named such a wave function/network a neural network quantum state (NQS). In their article they apply it to the quantum mechanical spin lattice systems of the Ising model and Heisenberg model, with encouraging results. See also the recent work by Adams et al..

Thanks to Daniel Bazin (MSU), Jane Kim (MSU), Julie Butler (MSU), Dean Lee (MSU), Sean Liddick (MSU), Michelle Kuchera (Davidson College), Vilde Flugsrud (UiO),Witek Nazarewicz (MSU), Even Nordhagen (UiO), Bendik Samseth (UiO) and Robert Solli (UiO) for many discussions and interpretations.