Deep learning and the Schrodinger equation

作者:Mills Kyle*; Spanner Michael; Tamblyn Isaac*
来源:PHYSICAL REVIEW A, 2017, 96(4): 042113.
DOI:10.1103/PhysRevA.96.042113

摘要

We have trained a deep (convolutional) neural network to predict the ground-state energy of an electron in four classes of confining two-dimensional electrostatic potentials. On randomly generated potentials, for which there is no analytic form for either the potential or the ground-state energy, the model was able to predict the ground-state energy to within chemical accuracy, with a median absolute error of 1.49 mHa. We also investigated the performance of the model in predicting other quantities such as the kinetic energy and the first excited-state energy.

  • 出版日期2017-10-18