Unsupervised Neural Networks for Quantum Eigenvalue Problems

Understand

Eigenvalue problems are critical to several fields of science and engineering.

• We present a novel unsupervised neural network for discovering eigenfunctions and eigenvalues for differential eigenvalue problems with solutions that identically satisfy the boundary conditions.
• A scanning mechanism is embedded allowing the method to find an arbitrary number of solutions.
• The network optimization is data-free and depends solely on the predictions.